9x^2=81x

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Solution for 9x^2=81x equation:


Simplifying
9x2 = 81x

Solving
9x2 = 81x

Solving for variable 'x'.

Reorder the terms:
-81x + 9x2 = 81x + -81x

Combine like terms: 81x + -81x = 0
-81x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-9 + x) = 0

Ignore the factor 9.

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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