45x^3+15x^2=0

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Solution for 45x^3+15x^2=0 equation:


Simplifying
45x3 + 15x2 = 0

Reorder the terms:
15x2 + 45x3 = 0

Solving
15x2 + 45x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15x2'.
15x2(1 + 3x) = 0

Ignore the factor 15.

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 '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {0, -0.3333333333}

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