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 = 67x
67x + x2 = 0

Solving
67x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(67 + 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 '(67 + x)' equal to zero and attempt to solve:

Simplifying
67 + x = 0

Solving
67 + x = 0

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

Add '-67' to each side of the equation.
67 + -67 + x = 0 + -67

Combine like terms: 67 + -67 = 0
0 + x = 0 + -67
x = 0 + -67

Combine like terms: 0 + -67 = -67
x = -67

Simplifying
x = -67
Solution
x = {0, -67}