2x^2=30x

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Solution for 2x^2=30x equation:


Simplifying
2x2 = 30x

Solving
2x2 = 30x

Solving for variable 'x'.

Reorder the terms:
-30x + 2x2 = 30x + -30x

Combine like terms: 30x + -30x = 0
-30x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-15 + 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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15

Solution

x = {0, 15}

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