x^2+118x-488=0

Solution for x^2+118x-488=0 equation:

Simplifying
x2 + 118x + -488 = 0

Reorder the terms:
-488 + 118x + x2 = 0

Solving
-488 + 118x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-122 + -1x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-122 + -1x)' equal to zero and attempt to solve:

Simplifying
-122 + -1x = 0

Solving
-122 + -1x = 0

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

Add '122' to each side of the equation.
-122 + 122 + -1x = 0 + 122

Combine like terms: -122 + 122 = 0
0 + -1x = 0 + 122
-1x = 0 + 122

Combine like terms: 0 + 122 = 122
-1x = 122

Divide each side by '-1'.
x = -122

Simplifying
x = -122
Subproblem 2
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
Solution
x = {-122, 4}