[30 POINTS, NEED NOW]
Write an equation in which the quadratic expression 2x2−2x−12 equals 0. Show the expression in factored form and explain what your solutions mean for the equation

2(x-3)(x+2)

Step-by-step explanation:

2x^2 - 2x - 12

2(x^2 - x -6)

2(x^2 - 3x + 2x - 6)

2(x(x - 3) + 2(x - 3))

2(x-3)(x+2)

x = 3 or x=-2

Step-by-step explanation:

All the numbers in the equation are even, so divide through by 2.

x2−x−6=0 find factors

The factors of 6 which subtract to make 1 are 2 and 2.

(x−3)(x+2)=0

If the answer to multiplication is 0, then one of the factors must be 0,

If x−3=0,then x=3

If x+2=0,then x=−2