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Simplifying 0 = 36x2 + -60xy + 25y2 Reorder the terms: 0 = -60xy + 36x2 + 25y2 Solving 0 = -60xy + 36x2 + 25y2 Solving for variable 'x'. Remove the zero: 60xy + -36x2 + -25y2 = -60xy + 36x2 + 25y2 + 60xy + -36x2 + -25y2 Reorder the terms: 60xy + -36x2 + -25y2 = -60xy + 60xy + 36x2 + -36x2 + 25y2 + -25y2 Combine like terms: -60xy + 60xy = 0 60xy + -36x2 + -25y2 = 0 + 36x2 + -36x2 + 25y2 + -25y2 60xy + -36x2 + -25y2 = 36x2 + -36x2 + 25y2 + -25y2 Combine like terms: 36x2 + -36x2 = 0 60xy + -36x2 + -25y2 = 0 + 25y2 + -25y2 60xy + -36x2 + -25y2 = 25y2 + -25y2 Combine like terms: 25y2 + -25y2 = 0 60xy + -36x2 + -25y2 = 0 Factor a trinomial. (-6x + 5y)(6x + -5y) = 0Subproblem 1
Set the factor '(-6x + 5y)' equal to zero and attempt to solve: Simplifying -6x + 5y = 0 Solving -6x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -6x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -6x + 0 = 0 + -5y -6x = 0 + -5y Remove the zero: -6x = -5y Divide each side by '-6'. x = 0.8333333333y Simplifying x = 0.8333333333ySubproblem 2
Set the factor '(6x + -5y)' equal to zero and attempt to solve: Simplifying 6x + -5y = 0 Solving 6x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 6x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 6x + 0 = 0 + 5y 6x = 0 + 5y Remove the zero: 6x = 5y Divide each side by '6'. x = 0.8333333333y Simplifying x = 0.8333333333ySolution
x = {0.8333333333y, 0.8333333333y}
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