Solve for $x$ .
$5 x^{2} - 3 = 14 x$
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

Answer

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Answer

So, the final answer is $3.0, - 0.2$ .

Steps

Step 1 ：Rearrange the equation to the form of $a x^{2} + b x + c = 0$ , which gives us $5 x^{2} - 14 x - 3 = 0$ .

Step 2 ：Identify the coefficients as $a = 5$ , $b = - 14$ , and $c = - 3$ .

Step 3 ：Calculate the discriminant $D$ using the formula $D = b^{2} - 4 a c$ , which gives us $D = 256$ .

Step 4 ：Use the quadratic formula $x = \frac{- b \pm \sqrt{D}}{2 a}$ to solve for $x$ .

Step 5 ：The solutions to the equation are $x = 3.0$ and $x = - 0.2$ .

Step 6 ：So, the final answer is $3.0, - 0.2$ .