15x^2y^2-7xy^2-2y^2=

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Solution for 15x^2y^2-7xy^2-2y^2= equation:


Simplifying
15x2y2 + -7xy2 + -2y2 = 0

Reorder the terms:
-7xy2 + 15x2y2 + -2y2 = 0

Solving
-7xy2 + 15x2y2 + -2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-7x + 15x2 + -2) = 0

Factor a trinomial.
y2((3x + -2)(5x + 1)) = 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 '(3x + -2)' equal to zero and attempt to solve:

Simplifying
3x + -2 = 0

Reorder the terms:
-2 + 3x = 0

Solving
-2 + 3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 3
Set the factor '(5x + 1)' equal to zero and attempt to solve:

Simplifying
5x + 1 = 0

Reorder the terms:
1 + 5x = 0

Solving
1 + 5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {0.6666666667, -0.2}

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