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Simplifying 108y2 + -3xy + -1x2 = 0 Reorder the terms: -3xy + -1x2 + 108y2 = 0 Solving -3xy + -1x2 + 108y2 = 0 Solving for variable 'x'. Factor a trinomial. (-1x + -12y)(x + -9y) = 0Subproblem 1
Set the factor '(-1x + -12y)' equal to zero and attempt to solve: Simplifying -1x + -12y = 0 Solving -1x + -12y = 0 Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. -1x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 -1x + 0 = 0 + 12y -1x = 0 + 12y Remove the zero: -1x = 12y Divide each side by '-1'. x = -12y Simplifying x = -12ySubproblem 2
Set the factor '(x + -9y)' equal to zero and attempt to solve: Simplifying x + -9y = 0 Solving x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 x + 0 = 0 + 9y x = 0 + 9y Remove the zero: x = 9y Simplifying x = 9ySolution
x = {-12y, 9y}
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