12x^2y+87xy-189y=0

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Solution for 12x^2y+87xy-189y=0 equation: 


Simplifying
12x2y + 87xy + -189y = 0

Reorder the terms:
87xy + 12x2y + -189y = 0

Solving
87xy + 12x2y + -189y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(29x + 4x2 + -63) = 0

Factor a trinomial.
3y((4x + -7)(x + 9)) = 0

Ignore the factor 3.

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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

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 '(4x + -7)' equal to zero and attempt to solve:

Simplifying
4x + -7 = 0

Reorder the terms:
-7 + 4x = 0

Solving
-7 + 4x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 0 + 7
4x = 0 + 7

Combine like terms: 0 + 7 = 7
4x = 7

Divide each side by '4'.
x = 1.75

Simplifying
x = 1.75

Subproblem 3
Set the factor '(x + 9)' equal to zero and attempt to solve:

Simplifying
x + 9 = 0

Reorder the terms:
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {1.75, -9}

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