y^4+x^4=y^4+p^4whatisx

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Solution for y^4+x^4=y^4+p^4whatisx equation:


Simplifying
y4 + x4 = y4 + p4whatisx

Reorder the terms:
x4 + y4 = y4 + p4whatisx

Reorder the terms:
x4 + y4 = ahip4stwx + y4

Add '-1y4' to each side of the equation.
x4 + y4 + -1y4 = ahip4stwx + y4 + -1y4

Combine like terms: y4 + -1y4 = 0
x4 + 0 = ahip4stwx + y4 + -1y4
x4 = ahip4stwx + y4 + -1y4

Combine like terms: y4 + -1y4 = 0
x4 = ahip4stwx + 0
x4 = ahip4stwx

Solving
x4 = ahip4stwx

Solving for variable 'x'.

Reorder the terms:
-1ahip4stwx + x4 = ahip4stwx + -1ahip4stwx

Combine like terms: ahip4stwx + -1ahip4stwx = 0
-1ahip4stwx + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1ahip4stw + 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 '(-1ahip4stw + x3)' equal to zero and attempt to solve: Simplifying -1ahip4stw + x3 = 0 Solving -1ahip4stw + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add 'ahip4stw' to each side of the equation. -1ahip4stw + ahip4stw + x3 = 0 + ahip4stw Combine like terms: -1ahip4stw + ahip4stw = 0 0 + x3 = 0 + ahip4stw x3 = 0 + ahip4stw Remove the zero: x3 = ahip4stw Simplifying x3 = ahip4stw 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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