4x^2y^2-62xy^2-140y^2=0

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Solution for 4x^2y^2-62xy^2-140y^2=0 equation: 


Simplifying
4x2y2 + -62xy2 + -140y2 = 0

Reorder the terms:
-62xy2 + 4x2y2 + -140y2 = 0

Solving
-62xy2 + 4x2y2 + -140y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(-31x + 2x2 + -70) = 0

Factor a trinomial.
2y2((2x + -35)(x + 2)) = 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 '(2x + -35)' equal to zero and attempt to solve:

Simplifying
2x + -35 = 0

Reorder the terms:
-35 + 2x = 0

Solving
-35 + 2x = 0

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

Add '35' to each side of the equation.
-35 + 35 + 2x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 2x = 0 + 35
2x = 0 + 35

Combine like terms: 0 + 35 = 35
2x = 35

Divide each side by '2'.
x = 17.5

Simplifying
x = 17.5

Subproblem 3
Set the factor '(x + 2)' equal to zero and attempt to solve:

Simplifying
x + 2 = 0

Reorder the terms:
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {17.5, -2}

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