x^4-2x+4=4

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Solution for x^4-2x+4=4 equation:


Simplifying
x4 + -2x + 4 = 4

Reorder the terms:
4 + -2x + x4 = 4

Add '-4' to each side of the equation.
4 + -2x + -4 + x4 = 4 + -4

Reorder the terms:
4 + -4 + -2x + x4 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + -2x + x4 = 4 + -4
-2x + x4 = 4 + -4

Combine like terms: 4 + -4 = 0
-2x + x4 = 0

Solving
-2x + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + x3) = 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 '(-2 + x3)' equal to zero and attempt to solve: Simplifying -2 + x3 = 0 Solving -2 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x3 = 0 + 2 x3 = 0 + 2 Combine like terms: 0 + 2 = 2 x3 = 2 Simplifying x3 = 2 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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