(2x^2)+40x=0

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Solution for (2x^2)+40x=0 equation:


Simplifying
(2x2) + 40x = 0

Reorder the terms:
40x + (2x2) = 0

Solving
40x + (2x2) = 0

Solving for variable 'x'.

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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