x^5=27x^3

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Solution for x^5=27x^3 equation:


Simplifying
x5 = 27x3

Solving
x5 = 27x3

Solving for variable 'x'.

Reorder the terms:
-27x3 + x5 = 27x3 + -27x3

Combine like terms: 27x3 + -27x3 = 0
-27x3 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-27 + x2) = 0

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 '(-27 + x2)' equal to zero and attempt to solve: Simplifying -27 + x2 = 0 Solving -27 + x2 = 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 + x2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x2 = 0 + 27 x2 = 0 + 27 Combine like terms: 0 + 27 = 27 x2 = 27 Simplifying x2 = 27 Take the square root of each side: x = {-5.196152423, 5.196152423}

Solution

x = {-5.196152423, 5.196152423}

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