x^6+9x^4=-20x^4

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Solution for x^6+9x^4=-20x^4 equation:


Simplifying
x6 + 9x4 = -20x4

Reorder the terms:
9x4 + x6 = -20x4

Solving
9x4 + x6 = -20x4

Solving for variable 'x'.

Reorder the terms:
9x4 + 20x4 + x6 = -20x4 + 20x4

Combine like terms: 9x4 + 20x4 = 29x4
29x4 + x6 = -20x4 + 20x4

Combine like terms: -20x4 + 20x4 = 0
29x4 + x6 = 0

Factor out the Greatest Common Factor (GCF), 'x4'.
x4(29 + x2) = 0

Subproblem 1

Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(29 + x2)' equal to zero and attempt to solve: Simplifying 29 + x2 = 0 Solving 29 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + x2 = 0 + -29 x2 = 0 + -29 Combine like terms: 0 + -29 = -29 x2 = -29 Simplifying x2 = -29 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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