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Simplifying 2x2 + 29xy + 50y2 = 0 Reorder the terms: 29xy + 2x2 + 50y2 = 0 Solving 29xy + 2x2 + 50y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 2y)(2x + 25y) = 0Subproblem 1
Set the factor '(x + 2y)' equal to zero and attempt to solve: Simplifying x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySubproblem 2
Set the factor '(2x + 25y)' equal to zero and attempt to solve: Simplifying 2x + 25y = 0 Solving 2x + 25y = 0 Move all terms containing x to the left, all other terms to the right. Add '-25y' to each side of the equation. 2x + 25y + -25y = 0 + -25y Combine like terms: 25y + -25y = 0 2x + 0 = 0 + -25y 2x = 0 + -25y Remove the zero: 2x = -25y Divide each side by '2'. x = -12.5y Simplifying x = -12.5ySolution
x = {-2y, -12.5y}
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