x^2-6x=15x

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Solution for x^2-6x=15x equation:


Simplifying
x2 + -6x = 15x

Reorder the terms:
-6x + x2 = 15x

Solving
-6x + x2 = 15x

Solving for variable 'x'.

Reorder the terms:
-6x + -15x + x2 = 15x + -15x

Combine like terms: -6x + -15x = -21x
-21x + x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
-21x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-21 + 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 '(-21 + x)' equal to zero and attempt to solve: Simplifying -21 + x = 0 Solving -21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x = 0 + 21 x = 0 + 21 Combine like terms: 0 + 21 = 21 x = 21 Simplifying x = 21

Solution

x = {0, 21}

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