8x^2+12=-22x

Solution for 8x^2+12=-22x equation:

Simplifying
8x2 + 12 = -22x

Reorder the terms:
12 + 8x2 = -22x

Solving
12 + 8x2 = -22x

Solving for variable 'x'.

Reorder the terms:
12 + 22x + 8x2 = -22x + 22x

Combine like terms: -22x + 22x = 0
12 + 22x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 11x + 4x2) = 0

Factor a trinomial.
2((2 + x)(3 + 4x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {-2, -0.75}