2x^2+8x=64

Solution for 2x^2+8x=64 equation:

Simplifying
2x2 + 8x = 64

Reorder the terms:
8x + 2x2 = 64

Solving
8x + 2x2 = 64

Solving for variable 'x'.

Reorder the terms:
-64 + 8x + 2x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + 4x + x2) = 0

Factor a trinomial.
2((-8 + -1x)(4 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-8, 4}