64x^2-104x=-40

Solution for 64x^2-104x=-40 equation:

Simplifying
64x2 + -104x = -40

Reorder the terms:
-104x + 64x2 = -40

Solving
-104x + 64x2 = -40

Solving for variable 'x'.

Reorder the terms:
40 + -104x + 64x2 = -40 + 40

Combine like terms: -40 + 40 = 0
40 + -104x + 64x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(5 + -13x + 8x2) = 0

Factor a trinomial.
8((5 + -8x)(1 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {0.625, 1}