2x^2=40x

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Solution for 2x^2=40x equation:


Simplifying
2x2 = 40x

Solving
2x2 = 40x

Solving for variable 'x'.

Reorder the terms:
-40x + 2x2 = 40x + -40x

Combine like terms: 40x + -40x = 0
-40x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-20 + 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20

Solution

x = {0, 20}

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