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Simplifying 16x2 + -9xy + -25y2 = 0 Reorder the terms: -9xy + 16x2 + -25y2 = 0 Solving -9xy + 16x2 + -25y2 = 0 Solving for variable 'x'. Factor a trinomial. (16x + -25y)(x + y) = 0Subproblem 1
Set the factor '(16x + -25y)' equal to zero and attempt to solve: Simplifying 16x + -25y = 0 Solving 16x + -25y = 0 Move all terms containing x to the left, all other terms to the right. Add '25y' to each side of the equation. 16x + -25y + 25y = 0 + 25y Combine like terms: -25y + 25y = 0 16x + 0 = 0 + 25y 16x = 0 + 25y Remove the zero: 16x = 25y Divide each side by '16'. x = 1.5625y Simplifying x = 1.5625ySubproblem 2
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {1.5625y, -1y}
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