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Simplifying 35x2 + 9xy + -18y2 = 0 Reorder the terms: 9xy + 35x2 + -18y2 = 0 Solving 9xy + 35x2 + -18y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -3y)(7x + 6y) = 0Subproblem 1
Set the factor '(5x + -3y)' equal to zero and attempt to solve: Simplifying 5x + -3y = 0 Solving 5x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 5x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 5x + 0 = 0 + 3y 5x = 0 + 3y Remove the zero: 5x = 3y Divide each side by '5'. x = 0.6y Simplifying x = 0.6ySubproblem 2
Set the factor '(7x + 6y)' equal to zero and attempt to solve: Simplifying 7x + 6y = 0 Solving 7x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 7x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 7x + 0 = 0 + -6y 7x = 0 + -6y Remove the zero: 7x = -6y Divide each side by '7'. x = -0.8571428571y Simplifying x = -0.8571428571ySolution
x = {0.6y, -0.8571428571y}
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