x^4-x^8+9=x+9

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Solution for x^4-x^8+9=x+9 equation:


Simplifying
x4 + -1x8 + 9 = x + 9

Reorder the terms:
9 + x4 + -1x8 = x + 9

Reorder the terms:
9 + x4 + -1x8 = 9 + x

Add '-9' to each side of the equation.
9 + x4 + -9 + -1x8 = 9 + -9 + x

Reorder the terms:
9 + -9 + x4 + -1x8 = 9 + -9 + x

Combine like terms: 9 + -9 = 0
0 + x4 + -1x8 = 9 + -9 + x
x4 + -1x8 = 9 + -9 + x

Combine like terms: 9 + -9 = 0
x4 + -1x8 = 0 + x
x4 + -1x8 = x

Solving
x4 + -1x8 = x

Solving for variable 'x'.

Reorder the terms:
-1x + x4 + -1x8 = x + -1x

Combine like terms: x + -1x = 0
-1x + x4 + -1x8 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + x3 + -1x7) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1 + x3 + -1x7)' equal to zero and attempt to solve: Simplifying -1 + x3 + -1x7 = 0 Solving -1 + x3 + -1x7 = 0 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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