x^18y^10-36=0

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Solution for x^18y^10-36=0 equation:


Simplifying
x18y10 + -36 = 0

Reorder the terms:
-36 + x18y10 = 0

Solving
-36 + x18y10 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + x18y10 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + x18y10 = 0 + 36
x18y10 = 0 + 36

Combine like terms: 0 + 36 = 36
x18y10 = 36

Divide each side by 'y10'.
x18 = 36y-10

Simplifying
x18 = 36y-10

Combine like terms: 36y-10 + -36y-10 = 0
x18 + -36y-10 = 0

Factor out the Greatest Common Factor (GCF), 'y-10'.
y-10(x18y10 + -36) = 0

Factor a difference between two squares.
y-10((x9y5 + 6)(x9y5 + -6)) = 0

Subproblem 1

Set the factor 'y-10' equal to zero and attempt to solve: Simplifying y-10 = 0 Solving y-10 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-10' to each side of the equation. y-10 + -1y-10 = 0 + -1y-10 Remove the zero: 0 = -1y-10 Simplifying 0 = -1y-10 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 '(x9y5 + 6)' equal to zero and attempt to solve: Simplifying x9y5 + 6 = 0 Reorder the terms: 6 + x9y5 = 0 Solving 6 + x9y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x9y5 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x9y5 = 0 + -6 x9y5 = 0 + -6 Combine like terms: 0 + -6 = -6 x9y5 = -6 Divide each side by 'y5'. x9 = -6y-5 Simplifying x9 = -6y-5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(x9y5 + -6)' equal to zero and attempt to solve: Simplifying x9y5 + -6 = 0 Reorder the terms: -6 + x9y5 = 0 Solving -6 + x9y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x9y5 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x9y5 = 0 + 6 x9y5 = 0 + 6 Combine like terms: 0 + 6 = 6 x9y5 = 6 Divide each side by 'y5'. x9 = 6y-5 Simplifying x9 = 6y-5 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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