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Simplifying 35x2 + 33xy + -54y2 = 0 Reorder the terms: 33xy + 35x2 + -54y2 = 0 Solving 33xy + 35x2 + -54y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -6y)(5x + 9y) = 0Subproblem 1
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 = 0.8571428571ySubproblem 2
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 = -1.8ySolution
x = {0.8571428571y, -1.8y}
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