x*x-5x=-4x

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Solution for x*x-5x=-4x equation:


Simplifying
x * x + -5x = -4x

Multiply x * x
x2 + -5x = -4x

Reorder the terms:
-5x + x2 = -4x

Solving
-5x + x2 = -4x

Solving for variable 'x'.

Reorder the terms:
-5x + 4x + x2 = -4x + 4x

Combine like terms: -5x + 4x = -1x
-1x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-1x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Solution

x = {0, 1}

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