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Simplifying x2 + 6xy + -2xy + -12y2 = 0 Reorder the terms: 6xy + -2xy + x2 + -12y2 = 0 Combine like terms: 6xy + -2xy = 4xy 4xy + x2 + -12y2 = 0 Solving 4xy + x2 + -12y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -2y)(x + 6y) = 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 + 6y)' equal to zero and attempt to solve: Simplifying x + 6y = 0 Solving x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 x + 0 = 0 + -6y x = 0 + -6y Remove the zero: x = -6y Simplifying x = -6ySolution
x = {2y, -6y}
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