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Simplifying 25x2 + -60xy + 36y2 = 0 Reorder the terms: -60xy + 25x2 + 36y2 = 0 Solving -60xy + 25x2 + 36y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -6y)(5x + -6y) = 0Subproblem 1
Set the factor '(5x + -6y)' equal to zero and attempt to solve: Simplifying 5x + -6y = 0 Solving 5x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 5x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 5x + 0 = 0 + 6y 5x = 0 + 6y Remove the zero: 5x = 6y Divide each side by '5'. x = 1.2y Simplifying x = 1.2ySubproblem 2
Set the factor '(5x + -6y)' equal to zero and attempt to solve: Simplifying 5x + -6y = 0 Solving 5x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 5x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 5x + 0 = 0 + 6y 5x = 0 + 6y Remove the zero: 5x = 6y Divide each side by '5'. x = 1.2y Simplifying x = 1.2ySolution
x = {1.2y, 1.2y}
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