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Simplifying 81y2 + -36xy + 4x2 = 0 Reorder the terms: -36xy + 4x2 + 81y2 = 0 Solving -36xy + 4x2 + 81y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -9y)(2x + -9y) = 0Subproblem 1
Set the factor '(2x + -9y)' equal to zero and attempt to solve: Simplifying 2x + -9y = 0 Solving 2x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 2x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 2x + 0 = 0 + 9y 2x = 0 + 9y Remove the zero: 2x = 9y Divide each side by '2'. x = 4.5y Simplifying x = 4.5ySubproblem 2
Set the factor '(2x + -9y)' equal to zero and attempt to solve: Simplifying 2x + -9y = 0 Solving 2x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 2x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 2x + 0 = 0 + 9y 2x = 0 + 9y Remove the zero: 2x = 9y Divide each side by '2'. x = 4.5y Simplifying x = 4.5ySolution
x = {4.5y, 4.5y}
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