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Simplifying 5x2 + xy + -18y2 = 0 Reorder the terms: xy + 5x2 + -18y2 = 0 Solving xy + 5x2 + -18y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -9y)(x + 2y) = 0Subproblem 1
Set the factor '(5x + -9y)' equal to zero and attempt to solve: Simplifying 5x + -9y = 0 Solving 5x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 5x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 5x + 0 = 0 + 9y 5x = 0 + 9y Remove the zero: 5x = 9y Divide each side by '5'. x = 1.8y Simplifying x = 1.8ySubproblem 2
Set the factor '(x + 2y)' equal to zero and attempt to solve: Simplifying x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySolution
x = {1.8y, -2y}
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