36x^5-8x^3=0

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Solution for 36x^5-8x^3=0 equation:


Simplifying
36x5 + -8x3 = 0

Reorder the terms:
-8x3 + 36x5 = 0

Solving
-8x3 + 36x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(-2 + 9x2) = 0

Ignore the factor 4.

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 '(-2 + 9x2)' equal to zero and attempt to solve: Simplifying -2 + 9x2 = 0 Solving -2 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9x2 = 0 + 2 9x2 = 0 + 2 Combine like terms: 0 + 2 = 2 9x2 = 2 Divide each side by '9'. x2 = 0.2222222222 Simplifying x2 = 0.2222222222 Take the square root of each side: x = {-0.471404521, 0.471404521}

Solution

x = {-0.471404521, 0.471404521}

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