X^2-X=4X

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Solution for X^2-X=4X equation: 


Simplifying
X2 + -1X = 4X

Reorder the terms:
-1X + X2 = 4X

Solving
-1X + X2 = 4X

Solving for variable 'X'.

Reorder the terms:
-1X + -4X + X2 = 4X + -4X

Combine like terms: -1X + -4X = -5X
-5X + X2 = 4X + -4X

Combine like terms: 4X + -4X = 0
-5X + X2 = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(-5 + 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 '(-5 + X)' equal to zero and attempt to solve:

Simplifying
-5 + X = 0

Solving
-5 + X = 0

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

Add '5' to each side of the equation.
-5 + 5 + X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + X = 0 + 5
X = 0 + 5

Combine like terms: 0 + 5 = 5
X = 5

Simplifying
X = 5
Solution
X = {0, 5}

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