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Simplifying 81x2 + -36xy + 4y2 = 0 Reorder the terms: -36xy + 81x2 + 4y2 = 0 Solving -36xy + 81x2 + 4y2 = 0 Solving for variable 'x'. Factor a trinomial. (9x + -2y)(9x + -2y) = 0Subproblem 1
Set the factor '(9x + -2y)' equal to zero and attempt to solve: Simplifying 9x + -2y = 0 Solving 9x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 9x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 9x + 0 = 0 + 2y 9x = 0 + 2y Remove the zero: 9x = 2y Divide each side by '9'. x = 0.2222222222y Simplifying x = 0.2222222222ySubproblem 2
Set the factor '(9x + -2y)' equal to zero and attempt to solve: Simplifying 9x + -2y = 0 Solving 9x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 9x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 9x + 0 = 0 + 2y 9x = 0 + 2y Remove the zero: 9x = 2y Divide each side by '9'. x = 0.2222222222y Simplifying x = 0.2222222222ySolution
x = {0.2222222222y, 0.2222222222y}
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