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Simplifying x2 + -14xy + 24y2 = 0 Reorder the terms: -14xy + x2 + 24y2 = 0 Solving -14xy + x2 + 24y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -12y)(x + -2y) = 0Subproblem 1
Set the factor '(x + -12y)' equal to zero and attempt to solve: Simplifying x + -12y = 0 Solving x + -12y = 0 Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 x + 0 = 0 + 12y x = 0 + 12y Remove the zero: x = 12y Simplifying x = 12ySubproblem 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 = {12y, 2y}
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