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Simplifying (5x + -9y)(5x + -9y) = 0 Multiply (5x + -9y) * (5x + -9y) (5x * (5x + -9y) + -9y * (5x + -9y)) = 0 ((5x * 5x + -9y * 5x) + -9y * (5x + -9y)) = 0 Reorder the terms: ((-45xy + 25x2) + -9y * (5x + -9y)) = 0 ((-45xy + 25x2) + -9y * (5x + -9y)) = 0 (-45xy + 25x2 + (5x * -9y + -9y * -9y)) = 0 (-45xy + 25x2 + (-45xy + 81y2)) = 0 Reorder the terms: (-45xy + -45xy + 25x2 + 81y2) = 0 Combine like terms: -45xy + -45xy = -90xy (-90xy + 25x2 + 81y2) = 0 Solving -90xy + 25x2 + 81y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -9y)(5x + -9y) = 0Subproblem 1
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 = 1.8ySubproblem 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 = {1.8y, 1.8y}
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