12x^3y^3+6x^3y^4=18x^2y^5

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Solution for 12x^3y^3+6x^3y^4=18x^2y^5 equation:


Simplifying
12x3y3 + 6x3y4 = 18x2y5

Solving
12x3y3 + 6x3y4 = 18x2y5

Solving for variable 'x'.

Reorder the terms:
-18x2y5 + 12x3y3 + 6x3y4 = 18x2y5 + -18x2y5

Combine like terms: 18x2y5 + -18x2y5 = 0
-18x2y5 + 12x3y3 + 6x3y4 = 0

Factor out the Greatest Common Factor (GCF), '6x2y3'.
6x2y3(-3y2 + 2x + xy) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x2y3' equal to zero and attempt to solve: Simplifying x2y3 = 0 Solving x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y3 = 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 '(-3y2 + 2x + xy)' equal to zero and attempt to solve: Simplifying -3y2 + 2x + xy = 0 Reorder the terms: 2x + xy + -3y2 = 0 Solving 2x + xy + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. 2x + xy + -3y2 + 3y2 = 0 + 3y2 Combine like terms: -3y2 + 3y2 = 0 2x + xy + 0 = 0 + 3y2 2x + xy = 0 + 3y2 Remove the zero: 2x + xy = 3y2 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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