2x^6-27x^4=0

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Solution for 2x^6-27x^4=0 equation:


Simplifying
2x6 + -27x4 = 0

Reorder the terms:
-27x4 + 2x6 = 0

Solving
-27x4 + 2x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x4'.
x4(-27 + 2x2) = 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 '(-27 + 2x2)' equal to zero and attempt to solve: Simplifying -27 + 2x2 = 0 Solving -27 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 2x2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 2x2 = 0 + 27 2x2 = 0 + 27 Combine like terms: 0 + 27 = 27 2x2 = 27 Divide each side by '2'. x2 = 13.5 Simplifying x2 = 13.5 Take the square root of each side: x = {-3.674234614, 3.674234614}

Solution

x = {-3.674234614, 3.674234614}

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