10xy^2-75xy-135x=0

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Solution for 10xy^2-75xy-135x=0 equation: 


Simplifying
10xy2 + -75xy + -135x = 0

Reorder the terms:
-135x + -75xy + 10xy2 = 0

Solving
-135x + -75xy + 10xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-27 + -15y + 2y2) = 0

Factor a trinomial.
5x((-3 + -2y)(9 + -1y)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-3 + -2y)' equal to zero and attempt to solve:

Simplifying
-3 + -2y = 0

Solving
-3 + -2y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 0 + 3
-2y = 0 + 3

Combine like terms: 0 + 3 = 3
-2y = 3

Add '2y' to each side of the equation.
-2y + 2y = 3 + 2y

Combine like terms: -2y + 2y = 0
0 = 3 + 2y

Simplifying
0 = 3 + 2y

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 '(9 + -1y)' equal to zero and attempt to solve:

Simplifying
9 + -1y = 0

Solving
9 + -1y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 0 + -9
-1y = 0 + -9

Combine like terms: 0 + -9 = -9
-1y = -9

Add 'y' to each side of the equation.
-1y + y = -9 + y

Combine like terms: -1y + y = 0
0 = -9 + y

Simplifying
0 = -9 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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