40x^2=32-64x

Solution for 40x^2=32-64x equation:

Simplifying
40x2 = 32 + -64x

Solving
40x2 = 32 + -64x

Solving for variable 'x'.

Reorder the terms:
-32 + 64x + 40x2 = 32 + -64x + -32 + 64x

Reorder the terms:
-32 + 64x + 40x2 = 32 + -32 + -64x + 64x

Combine like terms: 32 + -32 = 0
-32 + 64x + 40x2 = 0 + -64x + 64x
-32 + 64x + 40x2 = -64x + 64x

Combine like terms: -64x + 64x = 0
-32 + 64x + 40x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-4 + 8x + 5x2) = 0

Factor a trinomial.
8((-2 + -1x)(2 + -5x)) = 0

Ignore the factor 8.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-2, 0.4}