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Simplifying x2 + 11xy + -12y2 = 0 Reorder the terms: 11xy + x2 + -12y2 = 0 Solving 11xy + x2 + -12y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -1y)(x + 12y) = 0Subproblem 1
Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySubproblem 2
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 = -12ySolution
x = {y, -12y}
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