14x^2y^2+68xy^2-210y^2=0

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Solution for 14x^2y^2+68xy^2-210y^2=0 equation: 


Simplifying
14x2y2 + 68xy2 + -210y2 = 0

Reorder the terms:
68xy2 + 14x2y2 + -210y2 = 0

Solving
68xy2 + 14x2y2 + -210y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(34x + 7x2 + -105) = 0

Factor a trinomial.
2y2((7x + -15)(x + 7)) = 0

Ignore the factor 2.

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 '(7x + -15)' equal to zero and attempt to solve:

Simplifying
7x + -15 = 0

Reorder the terms:
-15 + 7x = 0

Solving
-15 + 7x = 0

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

Add '15' to each side of the equation.
-15 + 15 + 7x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 0 + 15
7x = 0 + 15

Combine like terms: 0 + 15 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

Subproblem 3
Set the factor '(x + 7)' equal to zero and attempt to solve:

Simplifying
x + 7 = 0

Reorder the terms:
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {2.142857143, -7}

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