8x^2=168-32x

Solution for 8x^2=168-32x equation:

Simplifying
8x2 = 168 + -32x

Solving
8x2 = 168 + -32x

Solving for variable 'x'.

Reorder the terms:
-168 + 32x + 8x2 = 168 + -32x + -168 + 32x

Reorder the terms:
-168 + 32x + 8x2 = 168 + -168 + -32x + 32x

Combine like terms: 168 + -168 = 0
-168 + 32x + 8x2 = 0 + -32x + 32x
-168 + 32x + 8x2 = -32x + 32x

Combine like terms: -32x + 32x = 0
-168 + 32x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-21 + 4x + x2) = 0

Factor a trinomial.
8((-7 + -1x)(3 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-7, 3}