3x^2=-20x

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Solution for 3x^2=-20x equation:


Simplifying
3x2 = -20x

Solving
3x2 = -20x

Solving for variable 'x'.

Reorder the terms:
20x + 3x2 = -20x + 20x

Combine like terms: -20x + 20x = 0
20x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(20 + 3x) = 0

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 + 3x)' equal to zero and attempt to solve: Simplifying 20 + 3x = 0 Solving 20 + 3x = 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 + 3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 0 + -20 3x = 0 + -20 Combine like terms: 0 + -20 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667

Solution

x = {0, -6.666666667}

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