10x^6-x^2=0

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Solution for 10x^6-x^2=0 equation:


Simplifying
10x6 + -1x2 = 0

Reorder the terms:
-1x2 + 10x6 = 0

Solving
-1x2 + 10x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + 10x4) = 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 '(-1 + 10x4)' equal to zero and attempt to solve: Simplifying -1 + 10x4 = 0 Solving -1 + 10x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10x4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x4 = 0 + 1 10x4 = 0 + 1 Combine like terms: 0 + 1 = 1 10x4 = 1 Divide each side by '10'. x4 = 0.1 Simplifying x4 = 0.1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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