10x^2=90x

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Solution for 10x^2=90x equation:


Simplifying
10x2 = 90x

Solving
10x2 = 90x

Solving for variable 'x'.

Reorder the terms:
-90x + 10x2 = 90x + -90x

Combine like terms: 90x + -90x = 0
-90x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(-9 + x) = 0

Ignore the factor 10.

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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