x^2+92x-9=-100

Solution for x^2+92x-9=-100 equation:

Simplifying
x2 + 92x + -9 = -100

Reorder the terms:
-9 + 92x + x2 = -100

Solving
-9 + 92x + x2 = -100

Solving for variable 'x'.

Reorder the terms:
-9 + 100 + 92x + x2 = -100 + 100

Combine like terms: -9 + 100 = 91
91 + 92x + x2 = -100 + 100

Combine like terms: -100 + 100 = 0
91 + 92x + x2 = 0

Factor a trinomial.
(91 + x)(1 + x) = 0

Subproblem 1
Set the factor '(91 + x)' equal to zero and attempt to solve:

Simplifying
91 + x = 0

Solving
91 + x = 0

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

Add '-91' to each side of the equation.
91 + -91 + x = 0 + -91

Combine like terms: 91 + -91 = 0
0 + x = 0 + -91
x = 0 + -91

Combine like terms: 0 + -91 = -91
x = -91

Simplifying
x = -91
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-91, -1}