4x^3+39x^2=0

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Solution for 4x^3+39x^2=0 equation:


Simplifying
4x3 + 39x2 = 0

Reorder the terms:
39x2 + 4x3 = 0

Solving
39x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(39 + 4x) = 0

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 '(39 + 4x)' equal to zero and attempt to solve: Simplifying 39 + 4x = 0 Solving 39 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 4x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 4x = 0 + -39 4x = 0 + -39 Combine like terms: 0 + -39 = -39 4x = -39 Divide each side by '4'. x = -9.75 Simplifying x = -9.75

Solution

x = {0, -9.75}

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