4x^2-31x-129=0

Solution for 4x^2-31x-129=0 equation:

Simplifying
4x2 + -31x + -129 = 0

Reorder the terms:
-129 + -31x + 4x2 = 0

Solving
-129 + -31x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(43 + -4x) = 0

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(43 + -4x)' equal to zero and attempt to solve:

Simplifying
43 + -4x = 0

Solving
43 + -4x = 0

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

Add '-43' to each side of the equation.
43 + -43 + -4x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -4x = 0 + -43
-4x = 0 + -43

Combine like terms: 0 + -43 = -43
-4x = -43

Divide each side by '-4'.
x = 10.75

Simplifying
x = 10.75
Solution
x = {-3, 10.75}