9x^4+3x^3=-12x^3

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Solution for 9x^4+3x^3=-12x^3 equation:


Simplifying
9x4 + 3x3 = -12x3

Reorder the terms:
3x3 + 9x4 = -12x3

Solving
3x3 + 9x4 = -12x3

Solving for variable 'x'.

Reorder the terms:
3x3 + 12x3 + 9x4 = -12x3 + 12x3

Combine like terms: 3x3 + 12x3 = 15x3
15x3 + 9x4 = -12x3 + 12x3

Combine like terms: -12x3 + 12x3 = 0
15x3 + 9x4 = 0

Factor out the Greatest Common Factor (GCF), '3x3'.
3x3(5 + 3x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667

Solution

x = {-1.666666667}

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