3x^3=-15x^2

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Solution for 3x^3=-15x^2 equation:


Simplifying
3x3 = -15x2

Solving
3x3 = -15x2

Solving for variable 'x'.

Reorder the terms:
15x2 + 3x3 = -15x2 + 15x2

Combine like terms: -15x2 + 15x2 = 0
15x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(5 + x) = 0

Ignore the factor 3.

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 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {0, -5}

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