0=30xy-(15x^2y^3*2y^0)

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Solution for 0=30xy-(15x^2y^3*2y^0) equation:


Simplifying
0 = 30xy + -1(15x2y3 * 2y0)

Reorder the terms for easier multiplication:
0 = 30xy + -1(15 * 2x2y3 * )

Multiply 15 * 2
0 = 30xy + -1(30x2y3 * )

Multiply x2y3 * 
0 = 30xy + -1(30x2y3)

Remove parenthesis around (30x2y3)
0 = 30xy + -1 * 30x2y3

Multiply -1 * 30
0 = 30xy + -30x2y3

Solving
0 = 30xy + -30x2y3

Solving for variable 'x'.
Remove the zero:
-30xy + 30x2y3 = 30xy + -30x2y3 + -30xy + 30x2y3

Reorder the terms:
-30xy + 30x2y3 = 30xy + -30xy + -30x2y3 + 30x2y3

Combine like terms: 30xy + -30xy = 0
-30xy + 30x2y3 = 0 + -30x2y3 + 30x2y3
-30xy + 30x2y3 = -30x2y3 + 30x2y3

Combine like terms: -30x2y3 + 30x2y3 = 0
-30xy + 30x2y3 = 0

Factor out the Greatest Common Factor (GCF), '30xy'.
30xy(-1 + xy2) = 0

Ignore the factor 30.

Subproblem 1

Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(-1 + xy2)' equal to zero and attempt to solve: Simplifying -1 + xy2 = 0 Solving -1 + xy2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + xy2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + xy2 = 0 + 1 xy2 = 0 + 1 Combine like terms: 0 + 1 = 1 xy2 = 1 Divide each side by 'y2'. x = y-2 Simplifying x = y-2

Solution

x = {y-2}

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