9x^2y^2-12xy+4=0

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Solution for 9x^2y^2-12xy+4=0 equation:


Simplifying
9x2y2 + -12xy + 4 = 0

Reorder the terms:
4 + -12xy + 9x2y2 = 0

Solving
4 + -12xy + 9x2y2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(2 + -3xy)' equal to zero and attempt to solve: Simplifying 2 + -3xy = 0 Solving 2 + -3xy = 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 + -3xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3xy = 0 + -2 -3xy = 0 + -2 Combine like terms: 0 + -2 = -2 -3xy = -2 Divide each side by '-3y'. x = 0.6666666667y-1 Simplifying x = 0.6666666667y-1

Subproblem 2

Set the factor '(2 + -3xy)' equal to zero and attempt to solve: Simplifying 2 + -3xy = 0 Solving 2 + -3xy = 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 + -3xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3xy = 0 + -2 -3xy = 0 + -2 Combine like terms: 0 + -2 = -2 -3xy = -2 Divide each side by '-3y'. x = 0.6666666667y-1 Simplifying x = 0.6666666667y-1

Solution

x = {0.6666666667y-1, 0.6666666667y-1}

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