32x^2y+36xy-56y=0

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Solution for 32x^2y+36xy-56y=0 equation: 


Simplifying
32x2y + 36xy + -56y = 0

Reorder the terms:
36xy + 32x2y + -56y = 0

Solving
36xy + 32x2y + -56y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(9x + 8x2 + -14) = 0

Factor a trinomial.
4y((8x + -7)(x + 2)) = 0

Ignore the factor 4.

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 '(8x + -7)' equal to zero and attempt to solve:

Simplifying
8x + -7 = 0

Reorder the terms:
-7 + 8x = 0

Solving
-7 + 8x = 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 + 8x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 0 + 7
8x = 0 + 7

Combine like terms: 0 + 7 = 7
8x = 7

Divide each side by '8'.
x = 0.875

Simplifying
x = 0.875

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

Simplifying
x + 2 = 0

Reorder the terms:
2 + x = 0

Solving
2 + x = 0

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

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

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0.875, -2}

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