Question

What is 2x squared + 2x - 12 = 0

Answer 1

x = -3 x = 2

Explanation:

`2x^(2) + 2x - 12 = 0\\`

First divide every term by 2.

`2x^(2) + 2x - 12 = 0\\`

/2 /2 /2 /2

It now simplifies to...

`x^(2) + x - 6 = 0`

Now you have to find 2 values that multiply to -6 and add to 1.

These numbers are 3 and -2

(x + 3)(x - 2) = 0

Now make a T-chart or separate both terms and equal them to 0 and solve.

x + 3 = 0 x - 2 = 0

x = -3 x = 2

Plug both values in the original equation one at a time and check if the equation equals zero.

Answer 2

it will factor 2(x+3)(x-2)
so the answers are -3 and 2