52x^3+20x^2=

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Solution for 52x^3+20x^2= equation:


Simplifying
52x3 + 20x2 = 0

Reorder the terms:
20x2 + 52x3 = 0

Solving
20x2 + 52x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(5 + 13x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(5 + 13x)' equal to zero and attempt to solve: Simplifying 5 + 13x = 0 Solving 5 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 13x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 0 + -5 13x = 0 + -5 Combine like terms: 0 + -5 = -5 13x = -5 Divide each side by '13'. x = -0.3846153846 Simplifying x = -0.3846153846

Solution

x = {0, -0.3846153846}

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