7x^2-11x-156=0

Solution for 7x^2-11x-156=0 equation:

Simplifying
7x2 + -11x + -156 = 0

Reorder the terms:
-156 + -11x + 7x2 = 0

Solving
-156 + -11x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(39 + -7x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(39 + -7x)' equal to zero and attempt to solve:

Simplifying
39 + -7x = 0

Solving
39 + -7x = 0

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

Add '-39' to each side of the equation.
39 + -39 + -7x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -7x = 0 + -39
-7x = 0 + -39

Combine like terms: 0 + -39 = -39
-7x = -39

Divide each side by '-7'.
x = 5.571428571

Simplifying
x = 5.571428571
Solution
x = {-4, 5.571428571}