9x^2y^2+24xy+16=0

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Solution for 9x^2y^2+24xy+16=0 equation:


Simplifying
9x2y2 + 24xy + 16 = 0

Reorder the terms:
16 + 24xy + 9x2y2 = 0

Solving
16 + 24xy + 9x2y2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

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

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