2x^3+12x+5x=0

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Solution for 2x^3+12x+5x=0 equation:


Simplifying
2x3 + 12x + 5x = 0

Reorder the terms:
12x + 5x + 2x3 = 0

Combine like terms: 12x + 5x = 17x
17x + 2x3 = 0

Solving
17x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(17 + 2x2) = 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 '(17 + 2x2)' equal to zero and attempt to solve: Simplifying 17 + 2x2 = 0 Solving 17 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x2 = 0 + -17 2x2 = 0 + -17 Combine like terms: 0 + -17 = -17 2x2 = -17 Divide each side by '2'. x2 = -8.5 Simplifying x2 = -8.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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