1000x^6y^12-1=0

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Solution for 1000x^6y^12-1=0 equation:


Simplifying
1000x6y12 + -1 = 0

Reorder the terms:
-1 + 1000x6y12 = 0

Solving
-1 + 1000x6y12 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 1000x6y12 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1000x6y12 = 0 + 1
1000x6y12 = 0 + 1

Combine like terms: 0 + 1 = 1
1000x6y12 = 1

Divide each side by '1000y12'.
x6 = 0.001y-12

Simplifying
x6 = 0.001y-12

Combine like terms: 0.001y-12 + -0.001y-12 = 0.000
x6 + -0.001y-12 = 0.000

Factor out the Greatest Common Factor (GCF), 'y-12'.
y-12(x6y12 + -0.001) = 0.000

Subproblem 1

Set the factor 'y-12' equal to zero and attempt to solve: Simplifying y-12 = 0 Solving y-12 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-12' to each side of the equation. y-12 + -1y-12 = 0 + -1y-12 Remove the zero: 0 = -1y-12 Simplifying 0 = -1y-12 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 '(x6y12 + -0.001)' equal to zero and attempt to solve: Simplifying x6y12 + -0.001 = 0 Reorder the terms: -0.001 + x6y12 = 0 Solving -0.001 + x6y12 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.001' to each side of the equation. -0.001 + 0.001 + x6y12 = 0 + 0.001 Combine like terms: -0.001 + 0.001 = 0.000 0.000 + x6y12 = 0 + 0.001 x6y12 = 0 + 0.001 Combine like terms: 0 + 0.001 = 0.001 x6y12 = 0.001 Divide each side by 'y12'. x6 = 0.001y-12 Simplifying x6 = 0.001y-12 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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