(12x+10)(2x+2)-4y^2=0

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Solution for (12x+10)(2x+2)-4y^2=0 equation: 


Simplifying
(12x + 10)(2x + 2) + -4y2 = 0

Reorder the terms:
(10 + 12x)(2x + 2) + -4y2 = 0

Reorder the terms:
(10 + 12x)(2 + 2x) + -4y2 = 0

Multiply (10 + 12x) * (2 + 2x)
(10(2 + 2x) + 12x * (2 + 2x)) + -4y2 = 0
((2 * 10 + 2x * 10) + 12x * (2 + 2x)) + -4y2 = 0
((20 + 20x) + 12x * (2 + 2x)) + -4y2 = 0
(20 + 20x + (2 * 12x + 2x * 12x)) + -4y2 = 0
(20 + 20x + (24x + 24x2)) + -4y2 = 0

Combine like terms: 20x + 24x = 44x
(20 + 44x + 24x2) + -4y2 = 0

Solving
20 + 44x + 24x2 + -4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 11x + 6x2 + -1y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + 11x + 6x2 + -1y2)' equal to zero and attempt to solve:

Simplifying
5 + 11x + 6x2 + -1y2 = 0

Solving
5 + 11x + 6x2 + -1y2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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