x(x-3)=5x

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Solution for x(x-3)=5x equation: 


Simplifying
x(x + -3) = 5x

Reorder the terms:
x(-3 + x) = 5x
(-3 * x + x * x) = 5x
(-3x + x2) = 5x

Solving
-3x + x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-3x + -5x + x2 = 5x + -5x

Combine like terms: -3x + -5x = -8x
-8x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-8x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 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 '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8
Solution
x = {0, 8}

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