Simplifying
8x = 2x2 + 8
Reorder the terms:
8x = 8 + 2x2
Solving
8x = 8 + 2x2
Solving for variable 'x'.
Reorder the terms:
-8 + 8x + -2x2 = 8 + 2x2 + -8 + -2x2
Reorder the terms:
-8 + 8x + -2x2 = 8 + -8 + 2x2 + -2x2
Combine like terms: 8 + -8 = 0
-8 + 8x + -2x2 = 0 + 2x2 + -2x2
-8 + 8x + -2x2 = 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
-8 + 8x + -2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4x + -1x2) = 0
Factor a trinomial.
2((-2 + x)(2 + -1x)) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
Solution
x = {2, 2}