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Simplifying 70x2 + -83xy + 18y2 = 0 Reorder the terms: -83xy + 70x2 + 18y2 = 0 Solving -83xy + 70x2 + 18y2 = 0 Solving for variable 'x'. Factor a trinomial. (10x + -9y)(7x + -2y) = 0Subproblem 1
Set the factor '(10x + -9y)' equal to zero and attempt to solve: Simplifying 10x + -9y = 0 Solving 10x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 10x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 10x + 0 = 0 + 9y 10x = 0 + 9y Remove the zero: 10x = 9y Divide each side by '10'. x = 0.9y Simplifying x = 0.9ySubproblem 2
Set the factor '(7x + -2y)' equal to zero and attempt to solve: Simplifying 7x + -2y = 0 Solving 7x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 7x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 7x + 0 = 0 + 2y 7x = 0 + 2y Remove the zero: 7x = 2y Divide each side by '7'. x = 0.2857142857y Simplifying x = 0.2857142857ySolution
x = {0.9y, 0.2857142857y}
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