Solve this equation by factorising:
\[
y^{2}+3 y-10=0
\]

Answer

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Answer

\(\boxed{y = 2, y = -5}\)

Steps

Step 1 ：Solve this equation by factorising: \(y^{2}+3 y-10=0\)

Step 2 ：We need to factor the quadratic equation and find the values of y that satisfy the equation.

Step 3 ：\(y^2 + 3y - 10 = (y - 2)(y + 5)\)

Step 4 ：Set each factor equal to zero: \((y - 2) = 0\) and \((y + 5) = 0\)

Step 5 ：Solve for y: \(y = 2\) and \(y = -5\)

Step 6 ：\(\boxed{y = 2, y = -5}\)