x^2+23x+90x=0

Solution for x^2+23x+90x=0 equation:

Simplifying
x2 + 23x + 90x = 0

Reorder the terms:
23x + 90x + x2 = 0

Combine like terms: 23x + 90x = 113x
113x + x2 = 0

Solving
113x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(113 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(113 + x)' equal to zero and attempt to solve:

Simplifying
113 + x = 0

Solving
113 + x = 0

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

Add '-113' to each side of the equation.
113 + -113 + x = 0 + -113

Combine like terms: 113 + -113 = 0
0 + x = 0 + -113
x = 0 + -113

Combine like terms: 0 + -113 = -113
x = -113

Simplifying
x = -113
Solution
x = {0, -113}