2x^2=36x

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Solution for 2x^2=36x equation:


Simplifying
2x2 = 36x

Solving
2x2 = 36x

Solving for variable 'x'.

Reorder the terms:
-36x + 2x2 = 36x + -36x

Combine like terms: 36x + -36x = 0
-36x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-18 + x) = 0

Ignore the factor 2.

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 '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Simplifying x = 18

Solution

x = {0, 18}

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