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Simplifying 45x2 + -44xy + -12y2 = 0 Reorder the terms: -44xy + 45x2 + -12y2 = 0 Solving -44xy + 45x2 + -12y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -6y)(9x + 2y) = 0Subproblem 1
Set the factor '(5x + -6y)' equal to zero and attempt to solve: Simplifying 5x + -6y = 0 Solving 5x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 5x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 5x + 0 = 0 + 6y 5x = 0 + 6y Remove the zero: 5x = 6y Divide each side by '5'. x = 1.2y Simplifying x = 1.2ySubproblem 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 = {1.2y, -0.2222222222y}
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