x^16-x^18=0

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Solution for x^16-x^18=0 equation:


Simplifying
x16 + -1x18 = 0

Solving
x16 + -1x18 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x16'.
x16(1 + -1x2) = 0

Factor a difference between two squares.
x16((1 + x)(1 + -1x)) = 0

Subproblem 1

Set the factor 'x16' equal to zero and attempt to solve: Simplifying x16 = 0 Solving x16 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x16 = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 3

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-1, 1}

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