3x^2=108x

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Solution for 3x^2=108x equation:


Simplifying
3x2 = 108x

Solving
3x2 = 108x

Solving for variable 'x'.

Reorder the terms:
-108x + 3x2 = 108x + -108x

Combine like terms: 108x + -108x = 0
-108x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-36 + x) = 0

Ignore the factor 3.

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 '(-36 + x)' equal to zero and attempt to solve: Simplifying -36 + x = 0 Solving -36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + x = 0 + 36 x = 0 + 36 Combine like terms: 0 + 36 = 36 x = 36 Simplifying x = 36

Solution

x = {0, 36}

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