15x^3+12x=-29x^2

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Solution for 15x^3+12x=-29x^2 equation:


Simplifying
15x3 + 12x = -29x2

Reorder the terms:
12x + 15x3 = -29x2

Solving
12x + 15x3 = -29x2

Solving for variable 'x'.

Reorder the terms:
12x + 29x2 + 15x3 = -29x2 + 29x2

Combine like terms: -29x2 + 29x2 = 0
12x + 29x2 + 15x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + 29x + 15x2) = 0

Factor a trinomial.
x((4 + 3x)(3 + 5x)) = 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 '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 3

Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {0, -1.333333333, -0.6}

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