20x^2=-24x

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Solution for 20x^2=-24x equation:


Simplifying
20x2 = -24x

Solving
20x2 = -24x

Solving for variable 'x'.

Reorder the terms:
24x + 20x2 = -24x + 24x

Combine like terms: -24x + 24x = 0
24x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(6 + 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 '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2

Solution

x = {0, -1.2}

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