40x^2-136x=96

Solution for 40x^2-136x=96 equation:

Simplifying
40x2 + -136x = 96

Reorder the terms:
-136x + 40x2 = 96

Solving
-136x + 40x2 = 96

Solving for variable 'x'.

Reorder the terms:
-96 + -136x + 40x2 = 96 + -96

Combine like terms: 96 + -96 = 0
-96 + -136x + 40x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-12 + -17x + 5x2) = 0

Factor a trinomial.
8((-3 + -5x)(4 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6
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 = {-0.6, 4}