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Simplifying 25x2 + 90xy + 81y2 = 0 Reorder the terms: 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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