12x^2y^2+14xy-40=0

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Solution for 12x^2y^2+14xy-40=0 equation:


Simplifying
12x2y2 + 14xy + -40 = 0

Reorder the terms:
-40 + 14xy + 12x2y2 = 0

Solving
-40 + 14xy + 12x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 7xy + 6x2y2) = 0

Factor a trinomial.
2((-5 + -2xy)(4 + -3xy)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -2xy)' equal to zero and attempt to solve: Simplifying -5 + -2xy = 0 Solving -5 + -2xy = 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 + -2xy = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2xy = 0 + 5 -2xy = 0 + 5 Combine like terms: 0 + 5 = 5 -2xy = 5 Divide each side by '-2y'. x = -2.5y-1 Simplifying x = -2.5y-1

Subproblem 2

Set the factor '(4 + -3xy)' equal to zero and attempt to solve: Simplifying 4 + -3xy = 0 Solving 4 + -3xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3xy = 0 + -4 -3xy = 0 + -4 Combine like terms: 0 + -4 = -4 -3xy = -4 Divide each side by '-3y'. x = 1.333333333y-1 Simplifying x = 1.333333333y-1

Solution

x = {-2.5y-1, 1.333333333y-1}

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