x^2-15x=324x-15x

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Solution for x^2-15x=324x-15x equation: 


Simplifying
x2 + -15x = 324x + -15x

Reorder the terms:
-15x + x2 = 324x + -15x

Combine like terms: 324x + -15x = 309x
-15x + x2 = 309x

Solving
-15x + x2 = 309x

Solving for variable 'x'.

Reorder the terms:
-15x + -309x + x2 = 309x + -309x

Combine like terms: -15x + -309x = -324x
-324x + x2 = 309x + -309x

Combine like terms: 309x + -309x = 0
-324x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-324 + 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 '(-324 + x)' equal to zero and attempt to solve:

Simplifying
-324 + x = 0

Solving
-324 + x = 0

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

Add '324' to each side of the equation.
-324 + 324 + x = 0 + 324

Combine like terms: -324 + 324 = 0
0 + x = 0 + 324
x = 0 + 324

Combine like terms: 0 + 324 = 324
x = 324

Simplifying
x = 324
Solution
x = {0, 324}

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