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Simplifying x2 + -25xy + -54y2 = 0 Reorder the terms: -25xy + x2 + -54y2 = 0 Solving -25xy + x2 + -54y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -27y)(x + 2y) = 0Subproblem 1
Set the factor '(x + -27y)' equal to zero and attempt to solve: Simplifying x + -27y = 0 Solving x + -27y = 0 Move all terms containing x to the left, all other terms to the right. Add '27y' to each side of the equation. x + -27y + 27y = 0 + 27y Combine like terms: -27y + 27y = 0 x + 0 = 0 + 27y x = 0 + 27y Remove the zero: x = 27y Simplifying x = 27ySubproblem 2
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 = -2ySolution
x = {27y, -2y}
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