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Simplifying x2 + -16xy + 48y2 = 0 Reorder the terms: -16xy + x2 + 48y2 = 0 Solving -16xy + x2 + 48y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -12y)(x + -4y) = 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 + -4y)' equal to zero and attempt to solve: Simplifying x + -4y = 0 Solving x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 x + 0 = 0 + 4y x = 0 + 4y Remove the zero: x = 4y Simplifying x = 4ySolution
x = {12y, 4y}
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