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Simplifying y(-2x2 + 2x + 12) = 0 Reorder the terms: y(12 + 2x + -2x2) = 0 (12 * y + 2x * y + -2x2 * y) = 0 Reorder the terms: (2xy + -2x2y + 12y) = 0 (2xy + -2x2y + 12y) = 0 Solving 2xy + -2x2y + 12y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(x + -1x2 + 6) = 0 Factor a trinomial. 2y((-1x + -2)(x + -3)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1x + -2)' equal to zero and attempt to solve: Simplifying -1x + -2 = 0 Reorder the terms: -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 3
Set the factor '(x + -3)' equal to zero and attempt to solve: Simplifying x + -3 = 0 Reorder the terms: -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {-2, 3}
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