15x^2y^2+33xy^2-210y^2=0

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Solution for 15x^2y^2+33xy^2-210y^2=0 equation: 


Simplifying
15x2y2 + 33xy2 + -210y2 = 0

Reorder the terms:
33xy2 + 15x2y2 + -210y2 = 0

Solving
33xy2 + 15x2y2 + -210y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y2'.
3y2(11x + 5x2 + -70) = 0

Factor a trinomial.
3y2((5x + -14)(x + 5)) = 0

Ignore the factor 3.

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 + -14)' equal to zero and attempt to solve:

Simplifying
5x + -14 = 0

Reorder the terms:
-14 + 5x = 0

Solving
-14 + 5x = 0

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

Add '14' to each side of the equation.
-14 + 14 + 5x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 0 + 14
5x = 0 + 14

Combine like terms: 0 + 14 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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

Simplifying
x + 5 = 0

Reorder the terms:
5 + x = 0

Solving
5 + x = 0

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

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

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

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

Simplifying
x = -5
Solution
x = {2.8, -5}

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