-x(6x^3+9)+x^4=0

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Solution for -x(6x^3+9)+x^4=0 equation:


Simplifying
-1x(6x3 + 9) + x4 = 0

Reorder the terms:
-1x(9 + 6x3) + x4 = 0
(9 * -1x + 6x3 * -1x) + x4 = 0
(-9x + -6x4) + x4 = 0

Combine like terms: -6x4 + x4 = -5x4
-9x + -5x4 = 0

Solving
-9x + -5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(9 + 5x3) = 0

Ignore the factor -1.

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 '(9 + 5x3)' equal to zero and attempt to solve: Simplifying 9 + 5x3 = 0 Solving 9 + 5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x3 = 0 + -9 5x3 = 0 + -9 Combine like terms: 0 + -9 = -9 5x3 = -9 Divide each side by '5'. x3 = -1.8 Simplifying x3 = -1.8 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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