25y^2x^2+60yx^2+36x^2=

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Solution for 25y^2x^2+60yx^2+36x^2= equation: 


Simplifying
25y2x2 + 60yx2 + 36x2 = 0

Reorder the terms:
36x2 + 60x2y + 25x2y2 = 0

Solving
36x2 + 60x2y + 25x2y2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(36 + 60y + 25y2) = 0

Factor a trinomial.
x2((6 + 5y)(6 + 5y)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(6 + 5y)' equal to zero and attempt to solve:

Simplifying
6 + 5y = 0

Solving
6 + 5y = 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 + 5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 0 + -6
5y = 0 + -6

Combine like terms: 0 + -6 = -6
5y = -6

Add '-5y' to each side of the equation.
5y + -5y = -6 + -5y

Combine like terms: 5y + -5y = 0
0 = -6 + -5y

Simplifying
0 = -6 + -5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(6 + 5y)' equal to zero and attempt to solve:

Simplifying
6 + 5y = 0

Solving
6 + 5y = 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 + 5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 0 + -6
5y = 0 + -6

Combine like terms: 0 + -6 = -6
5y = -6

Add '-5y' to each side of the equation.
5y + -5y = -6 + -5y

Combine like terms: 5y + -5y = 0
0 = -6 + -5y

Simplifying
0 = -6 + -5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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