y(9x^2+30x+25y^2)=

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Solution for y(9x^2+30x+25y^2)= equation:


Simplifying
y(9x2 + 30x + 25y2) = 0

Reorder the terms:
y(30x + 9x2 + 25y2) = 0
(30x * y + 9x2 * y + 25y2 * y) = 0
(30xy + 9x2y + 25y3) = 0

Solving
30xy + 9x2y + 25y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(30x + 9x2 + 25y2) = 0

Factor a trinomial.
y((3x + 5y)(3x + 5y)) = 0


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 '(3x + 5y)' equal to zero and attempt to solve:

Simplifying
3x + 5y = 0

Solving
3x + 5y = 0

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

Add '-5y' to each side of the equation.
3x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 0 + -5y
3x = 0 + -5y
Remove the zero:
3x = -5y

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y

Subproblem 3
Set the factor '(3x + 5y)' equal to zero and attempt to solve:

Simplifying
3x + 5y = 0

Solving
3x + 5y = 0

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

Add '-5y' to each side of the equation.
3x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 0 + -5y
3x = 0 + -5y
Remove the zero:
3x = -5y

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y
Solution
x = {-1.666666667y, -1.666666667y}

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