x^2-12x-988=0

Solution for x^2-12x-988=0 equation:

Simplifying
x2 + -12x + -988 = 0

Reorder the terms:
-988 + -12x + x2 = 0

Solving
-988 + -12x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-26 + -1x)(38 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(38 + -1x)' equal to zero and attempt to solve:

Simplifying
38 + -1x = 0

Solving
38 + -1x = 0

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

Add '-38' to each side of the equation.
38 + -38 + -1x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -1x = 0 + -38
-1x = 0 + -38

Combine like terms: 0 + -38 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38
Solution
x = {-26, 38}