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Simplifying x2 + 22xy + -48y2 = 0 Reorder the terms: 22xy + x2 + -48y2 = 0 Solving 22xy + x2 + -48y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -2y)(x + 24y) = 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 '(x + 24y)' equal to zero and attempt to solve: Simplifying x + 24y = 0 Solving x + 24y = 0 Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. x + 24y + -24y = 0 + -24y Combine like terms: 24y + -24y = 0 x + 0 = 0 + -24y x = 0 + -24y Remove the zero: x = -24y Simplifying x = -24ySolution
x = {2y, -24y}
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