5x^8=15x^6

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Solution for 5x^8=15x^6 equation:


Simplifying
5x8 = 15x6

Solving
5x8 = 15x6

Solving for variable 'x'.

Reorder the terms:
-15x6 + 5x8 = 15x6 + -15x6

Combine like terms: 15x6 + -15x6 = 0
-15x6 + 5x8 = 0

Factor out the Greatest Common Factor (GCF), '5x6'.
5x6(-3 + x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x6' equal to zero and attempt to solve: Simplifying x6 = 0 Solving x6 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x6 = 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 '(-3 + x2)' equal to zero and attempt to solve: Simplifying -3 + x2 = 0 Solving -3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x2 = 0 + 3 x2 = 0 + 3 Combine like terms: 0 + 3 = 3 x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}

Solution

x = {-1.732050808, 1.732050808}

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