5x^4-27x^2=0

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Solution for 5x^4-27x^2=0 equation:


Simplifying
5x4 + -27x2 = 0

Reorder the terms:
-27x2 + 5x4 = 0

Solving
-27x2 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-27 + 5x2) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-27 + 5x2)' equal to zero and attempt to solve: Simplifying -27 + 5x2 = 0 Solving -27 + 5x2 = 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 + 5x2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 5x2 = 0 + 27 5x2 = 0 + 27 Combine like terms: 0 + 27 = 27 5x2 = 27 Divide each side by '5'. x2 = 5.4 Simplifying x2 = 5.4 Take the square root of each side: x = {-2.323790008, 2.323790008}

Solution

x = {0, -2.323790008, 2.323790008}

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