20x^2=-12x

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Solution for 20x^2=-12x equation:


Simplifying
20x2 = -12x

Solving
20x2 = -12x

Solving for variable 'x'.

Reorder the terms:
12x + 20x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
12x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(3 + 5x) = 0

Ignore the factor 4.

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 '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {0, -0.6}

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