Question

solve the equation by factoring: 2x³ - 2x² - 112x = 0

Explanation:

Step1: Factor out common term

$2x(x^2 - x - 56) = 0$

Step2: Factor quadratic expression

$2x(x - 8)(x + 7) = 0$

Step3: Set factors to zero

$2x=0$, $x-8=0$, $x+7=0$

Step4: Solve for x

$x=0$, $x=8$, $x=-7$

Answer:

$x=0$, $x=8$, $x=-7$