25x^2y+130xy-120y=0

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Solution for 25x^2y+130xy-120y=0 equation: 


Simplifying
25x2y + 130xy + -120y = 0

Reorder the terms:
130xy + 25x2y + -120y = 0

Solving
130xy + 25x2y + -120y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(26x + 5x2 + -24) = 0

Factor a trinomial.
5y((5x + -4)(x + 6)) = 0

Ignore the factor 5.

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 '(5x + -4)' equal to zero and attempt to solve:

Simplifying
5x + -4 = 0

Reorder the terms:
-4 + 5x = 0

Solving
-4 + 5x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 0 + 4
5x = 0 + 4

Combine like terms: 0 + 4 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

Subproblem 3
Set the factor '(x + 6)' equal to zero and attempt to solve:

Simplifying
x + 6 = 0

Reorder the terms:
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {0.8, -6}

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