7x^8-21x^6=0

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Solution for 7x^8-21x^6=0 equation:


Simplifying
7x8 + -21x6 = 0

Reorder the terms:
-21x6 + 7x8 = 0

Solving
-21x6 + 7x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x6'.
7x6(-3 + x2) = 0

Ignore the factor 7.

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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