x^3y^4+z=-81

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Solution for x^3y^4+z=-81 equation:


Simplifying
x3y4 + z = -81

Solving
x3y4 + z = -81

Solving for variable 'x'.

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

Add '-1z' to each side of the equation.
x3y4 + z + -1z = -81 + -1z

Combine like terms: z + -1z = 0
x3y4 + 0 = -81 + -1z
x3y4 = -81 + -1z

Divide each side by 'y4'.
x3 = -81y-4 + -1y-4z

Simplifying
x3 = -81y-4 + -1y-4z

Reorder the terms:
x3 + 81y-4 + y-4z = -81y-4 + 81y-4 + -1y-4z + y-4z

Combine like terms: -81y-4 + 81y-4 = 0
x3 + 81y-4 + y-4z = 0 + -1y-4z + y-4z
x3 + 81y-4 + y-4z = -1y-4z + y-4z

Combine like terms: -1y-4z + y-4z = 0
x3 + 81y-4 + y-4z = 0

Factor out the Greatest Common Factor (GCF), 'y-4'.
y-4(x3y4 + 81 + z) = 0

Subproblem 1

Set the factor 'y-4' equal to zero and attempt to solve: Simplifying y-4 = 0 Solving y-4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-4' to each side of the equation. y-4 + -1y-4 = 0 + -1y-4 Remove the zero: 0 = -1y-4 Simplifying 0 = -1y-4 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 '(x3y4 + 81 + z)' equal to zero and attempt to solve: Simplifying x3y4 + 81 + z = 0 Reorder the terms: 81 + x3y4 + z = 0 Solving 81 + x3y4 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + x3y4 + -81 + z = 0 + -81 Reorder the terms: 81 + -81 + x3y4 + z = 0 + -81 Combine like terms: 81 + -81 = 0 0 + x3y4 + z = 0 + -81 x3y4 + z = 0 + -81 Combine like terms: 0 + -81 = -81 x3y4 + z = -81 Add '-1z' to each side of the equation. x3y4 + z + -1z = -81 + -1z Combine like terms: z + -1z = 0 x3y4 + 0 = -81 + -1z x3y4 = -81 + -1z Divide each side by 'y4'. x3 = -81y-4 + -1y-4z Simplifying x3 = -81y-4 + -1y-4z 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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