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Simplifying (y + -6)(y + -2) = 0 Reorder the terms: (-6 + y)(y + -2) = 0 Reorder the terms: (-6 + y)(-2 + y) = 0 Multiply (-6 + y) * (-2 + y) (-6(-2 + y) + y(-2 + y)) = 0 ((-2 * -6 + y * -6) + y(-2 + y)) = 0 ((12 + -6y) + y(-2 + y)) = 0 (12 + -6y + (-2 * y + y * y)) = 0 (12 + -6y + (-2y + y2)) = 0 Combine like terms: -6y + -2y = -8y (12 + -8y + y2) = 0 Solving 12 + -8y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -1y)(6 + -1y) = 0Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {2, 6}
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