2x^2y+30xy-4y=

Solution for 2x^2y+30xy-4y= equation:

Simplifying
2x2y + 30xy + -4y = 0

Reorder the terms:
30xy + 2x2y + -4y = 0

Solving
30xy + 2x2y + -4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(15x + x2 + -2) = 0

Ignore the factor 2.
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 '(15x + x2 + -2)' equal to zero and attempt to solve:

Simplifying
15x + x2 + -2 = 0

Reorder the terms:
-2 + 15x + x2 = 0

Solving
-2 + 15x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 15x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + 15x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 15x + x2 = 0 + 2
15x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
15x + x2 = 2

The x term is 15x.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15x + 56.25 + x2 = 2 + 56.25

Reorder the terms:
56.25 + 15x + x2 = 2 + 56.25

Combine like terms: 2 + 56.25 = 58.25
56.25 + 15x + x2 = 58.25

Factor a perfect square on the left side:
(x + 7.5)(x + 7.5) = 58.25

Calculate the square root of the right side: 7.632168761

Break this problem into two subproblems by setting 
(x + 7.5) equal to 7.632168761 and -7.632168761.

Subproblem 1
x + 7.5 = 7.632168761

Simplifying
x + 7.5 = 7.632168761

Reorder the terms:
7.5 + x = 7.632168761

Solving
7.5 + x = 7.632168761

Solving for variable 'x'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + x = 7.632168761 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + x = 7.632168761 + -7.5
x = 7.632168761 + -7.5

Combine like terms: 7.632168761 + -7.5 = 0.132168761
x = 0.132168761

Simplifying
x = 0.132168761

Subproblem 2
x + 7.5 = -7.632168761

Simplifying
x + 7.5 = -7.632168761

Reorder the terms:
7.5 + x = -7.632168761

Solving
7.5 + x = -7.632168761

Solving for variable 'x'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + x = -7.632168761 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + x = -7.632168761 + -7.5
x = -7.632168761 + -7.5

Combine like terms: -7.632168761 + -7.5 = -15.132168761
x = -15.132168761

Simplifying
x = -15.132168761

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.132168761, -15.132168761}
Solution
x = {0.132168761, -15.132168761}