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Simplifying 50x2 + 45xy + -18y2 = 0 Reorder the terms: 45xy + 50x2 + -18y2 = 0 Solving 45xy + 50x2 + -18y2 = 0 Solving for variable 'x'. Factor a trinomial. (10x + -3y)(5x + 6y) = 0Subproblem 1
Set the factor '(10x + -3y)' equal to zero and attempt to solve: Simplifying 10x + -3y = 0 Solving 10x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 10x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 10x + 0 = 0 + 3y 10x = 0 + 3y Remove the zero: 10x = 3y Divide each side by '10'. x = 0.3y Simplifying x = 0.3ySubproblem 2
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 = -1.2ySolution
x = {0.3y, -1.2y}
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