3x^2+24x-130=122

Solution for 3x^2+24x-130=122 equation:

Simplifying
3x2 + 24x + -130 = 122

Reorder the terms:
-130 + 24x + 3x2 = 122

Solving
-130 + 24x + 3x2 = 122

Solving for variable 'x'.

Reorder the terms:
-130 + -122 + 24x + 3x2 = 122 + -122

Combine like terms: -130 + -122 = -252
-252 + 24x + 3x2 = 122 + -122

Combine like terms: 122 + -122 = 0
-252 + 24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-84 + 8x + x2) = 0

Factor a trinomial.
3((-14 + -1x)(6 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-14, 6}