-25x^2y^2+5xy^2+12y^2=

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Solution for -25x^2y^2+5xy^2+12y^2= equation: 


Simplifying
-25x2y2 + 5xy2 + 12y2 = 0

Reorder the terms:
5xy2 + -25x2y2 + 12y2 = 0

Solving
5xy2 + -25x2y2 + 12y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(5x + -25x2 + 12) = 0

Factor a trinomial.
y2((-5x + -3)(5x + -4)) = 0


Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Add '-1y2' to each side of the equation.
y2 + -1y2 = 0 + -1y2
Remove the zero:
0 = -1y2

Simplifying
0 = -1y2

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 + -3)' equal to zero and attempt to solve:

Simplifying
-5x + -3 = 0

Reorder the terms:
-3 + -5x = 0

Solving
-3 + -5x = 0

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

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

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 3
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
Solution
x = {-0.6, 0.8}

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