Solving by Factoring Introduction,Examples with Step-by-Step Explanations

The problems about Solving by Factoring

Topic	Problem	Solution
None	$4 b^{2} + 8 b + 7 = 4$	The given equation is a quadratic equation in the form of $a x^{2} + b x + c = 0$ . We can solve this …
None	Question find out the value of $x: x^{\wedge} 2-1…	A questão está pedindo para resolver a equação $x^{2} - 1 = 0$ . Esta é uma equação quadrática simpl…
None	$x^{2} - 6 x + 5 = 0$	We are given the quadratic equation $x^{2} - 6 x + 5 = 0$ .
None	Solve for $x$ . $5 x^{2} - 3 = 14 x$ If there is m…	Rearrange the equation to the form of $a x^{2} + b x + c = 0$ , which gives us $5 x^{2} - 14 x - 3 = 0$ .
None	$3 x^{2} - 108 = 0$	We are given the quadratic equation $3 x^{2} - 108 = 0$ .
None	Solve the equation by the square root property. I…	Given the equation $5 x^{2} = 55$ .
None	Two numbers multiply to be 20 and add to be 12 . …	Set up the equations as $x * y = 20$ and $x + y = 12$ .
None	A ball is thrown from an initial height of 4 feet…	Given the equation for the height of the ball is $h = 4 + 29 t - 16 t^{2}$ , we need to find the time $t$ …
None	An astronaut on the moon throws a baseball upward…	We are given the height of the ball as a function of time, $s = - 2.7 t^{2} + 40 t + 6.5$ , where $s$ …
None	Solve $x^{2} = 25$ , where $x$ is a real number. Sim…	The given equation is a simple quadratic equation, $x^{2} = 25$ , where $x$ is a real number.
None	a) $x^{2} - 5 x + 6 = 0$	Esta é uma equação quadrática na forma de $a x^{2} + b x + c = 0$ . As raízes da equação podem ser encontr…
None	$x^{2} - 25 = 0$	Given the quadratic equation $x^{2} - 25 = 0$ .
None	$- 3$ . Something's Fishy The Survivors are quickly…	Rewrite the equation in factored form: $N = - 2 x (x - 28)$
None	a) $4 x^{2} + 3 x = 0$	Factor out an x from the equation: $x (4 x + 3) = 0$
None	$x^{2} - 5 x - 6 = 0$	Given the quadratic equation: $x^{2} - 5 x - 6 = 0$
None	$1 x^{2} + 6 x + 9 = 0$	Given the quadratic equation: $x^{2} + 6 x + 9 = 0$
None	$x^{2} - 16 = 0$	Solve the quadratic equation $x^{2} - 16 = 0$ by factoring.
None	a $x^{2} - 10 x + 25 = 0$	Given the quadratic equation: $x^{2} - 10 x + 25 = 0$
None	a) $x^{2} - 2 = 2 x - 4$	Rewrite the equation in the standard form: $x^{2} - 2 x - 2 = 0$
None	Exercise 12 1. In the diagram, the graphs of $y=x…	a) To solve the equation $x^{2} - 2 x - 3 = - 2$ , we can rewrite it as $x^{2} - 2 x - 1 = 0$
None	a) $- 3 t^{2} + t = 0$	Solve the equation: $- 3 t^{2} + t = 0$
None	Solve the equation for $x$ : $x^{2} + 17 x + 60 = 0$	Given the quadratic equation: $x^{2} + 17 x + 60 = 0$
None	Solve $x^{2} = 81$ , where $x$ is a real num…	$x^{2} = 81$
None	$x^{2} + x - 20 = 0$	$(x - 4) (x + 5) = 0$
None	(3) $4 x^{2} - 36 = 0$	$4 x^{2} - 36 = 0$
None	find out the value of $x : x^{\land} 2 - 1 = 0$	$x^{2} - 1 = 0$
None	find out the value of $x : x^{\land} 2 - 1 = n d$ …	To solve the quadratic equation x^2-1=0: