(x^3y^6)=x^6y^4+17x^3y^4

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Solution for (x^3y^6)=x^6y^4+17x^3y^4 equation:


Simplifying
(x3y6) = x6y4 + 17x3y4
x3y6 = x6y4 + 17x3y4

Reorder the terms:
x3y6 = 17x3y4 + x6y4

Solving
x3y6 = 17x3y4 + x6y4

Solving for variable 'x'.

Reorder the terms:
-17x3y4 + x3y6 + -1x6y4 = 17x3y4 + x6y4 + -17x3y4 + -1x6y4

Reorder the terms:
-17x3y4 + x3y6 + -1x6y4 = 17x3y4 + -17x3y4 + x6y4 + -1x6y4

Combine like terms: 17x3y4 + -17x3y4 = 0
-17x3y4 + x3y6 + -1x6y4 = 0 + x6y4 + -1x6y4
-17x3y4 + x3y6 + -1x6y4 = x6y4 + -1x6y4

Combine like terms: x6y4 + -1x6y4 = 0
-17x3y4 + x3y6 + -1x6y4 = 0

Factor out the Greatest Common Factor (GCF), 'x3y4'.
x3y4(-17 + y2 + -1x3) = 0

Subproblem 1

Set the factor 'x3y4' equal to zero and attempt to solve: Simplifying x3y4 = 0 Solving x3y4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y4 = 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 '(-17 + y2 + -1x3)' equal to zero and attempt to solve: Simplifying -17 + y2 + -1x3 = 0 Reorder the terms: -17 + -1x3 + y2 = 0 Solving -17 + -1x3 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + -1x3 + 17 + y2 = 0 + 17 Reorder the terms: -17 + 17 + -1x3 + y2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x3 + y2 = 0 + 17 -1x3 + y2 = 0 + 17 Combine like terms: 0 + 17 = 17 -1x3 + y2 = 17 Add '-1y2' to each side of the equation. -1x3 + y2 + -1y2 = 17 + -1y2 Combine like terms: y2 + -1y2 = 0 -1x3 + 0 = 17 + -1y2 -1x3 = 17 + -1y2 Divide each side by '-1'. x3 = -17 + y2 Simplifying x3 = -17 + y2 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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