xcubed=ycubed+zcubed

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Solution for xcubed=ycubed+zcubed equation:


Simplifying
xcubed = ycubed + zcubed

Solving
bcdeux = bcdeuy + bcdeuz

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1bcdeuy' to each side of the equation.
bcdeux + -1bcdeuy = bcdeuy + -1bcdeuy + bcdeuz

Combine like terms: bcdeuy + -1bcdeuy = 0
bcdeux + -1bcdeuy = 0 + bcdeuz
bcdeux + -1bcdeuy = bcdeuz

Add '-1bcdeuz' to each side of the equation.
bcdeux + -1bcdeuy + -1bcdeuz = bcdeuz + -1bcdeuz

Combine like terms: bcdeuz + -1bcdeuz = 0
bcdeux + -1bcdeuy + -1bcdeuz = 0

Factor out the Greatest Common Factor (GCF), 'bcdeu'.
bcdeu(x + -1y + -1z) = 0

Subproblem 1

Set the factor 'bcdeu' equal to zero and attempt to solve: Simplifying bcdeu = 0 Solving bcdeu = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bcdeu = 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 '(x + -1y + -1z)' equal to zero and attempt to solve: Simplifying x + -1y + -1z = 0 Solving x + -1y + -1z = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1y + -1x + -1z = 0 + -1x Reorder the terms: x + -1x + -1y + -1z = 0 + -1x Combine like terms: x + -1x = 0 0 + -1y + -1z = 0 + -1x -1y + -1z = 0 + -1x Remove the zero: -1y + -1z = -1x Add 'y' to each side of the equation. -1y + y + -1z = -1x + y Combine like terms: -1y + y = 0 0 + -1z = -1x + y -1z = -1x + y Add 'z' to each side of the equation. -1z + z = -1x + y + z Combine like terms: -1z + z = 0 0 = -1x + y + z Simplifying 0 = -1x + y + z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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