x^2+18x=9x

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Solution for x^2+18x=9x equation:


Simplifying
x2 + 18x = 9x

Reorder the terms:
18x + x2 = 9x

Solving
18x + x2 = 9x

Solving for variable 'x'.

Reorder the terms:
18x + -9x + x2 = 9x + -9x

Combine like terms: 18x + -9x = 9x
9x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
9x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Solution

x = {0, -9}

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