24x^2-142x-91=-91

Solution for 24x^2-142x-91=-91 equation:

Simplifying
24x2 + -142x + -91 = -91

Reorder the terms:
-91 + -142x + 24x2 = -91

Add '91' to each side of the equation.
-91 + -142x + 91 + 24x2 = -91 + 91

Reorder the terms:
-91 + 91 + -142x + 24x2 = -91 + 91

Combine like terms: -91 + 91 = 0
0 + -142x + 24x2 = -91 + 91
-142x + 24x2 = -91 + 91

Combine like terms: -91 + 91 = 0
-142x + 24x2 = 0

Solving
-142x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-71 + 12x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-71 + 12x)' equal to zero and attempt to solve:

Simplifying
-71 + 12x = 0

Solving
-71 + 12x = 0

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

Add '71' to each side of the equation.
-71 + 71 + 12x = 0 + 71

Combine like terms: -71 + 71 = 0
0 + 12x = 0 + 71
12x = 0 + 71

Combine like terms: 0 + 71 = 71
12x = 71

Divide each side by '12'.
x = 5.916666667

Simplifying
x = 5.916666667
Solution
x = {0, 5.916666667}