3x^2=36x

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Solution for 3x^2=36x equation:


Simplifying
3x2 = 36x

Solving
3x2 = 36x

Solving for variable 'x'.

Reorder the terms:
-36x + 3x2 = 36x + -36x

Combine like terms: 36x + -36x = 0
-36x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-12 + 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 '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12

Solution

x = {0, 12}

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