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Simplifying (y + -3)(y + -9) = 0 Reorder the terms: (-3 + y)(y + -9) = 0 Reorder the terms: (-3 + y)(-9 + y) = 0 Multiply (-3 + y) * (-9 + y) (-3(-9 + y) + y(-9 + y)) = 0 ((-9 * -3 + y * -3) + y(-9 + y)) = 0 ((27 + -3y) + y(-9 + y)) = 0 (27 + -3y + (-9 * y + y * y)) = 0 (27 + -3y + (-9y + y2)) = 0 Combine like terms: -3y + -9y = -12y (27 + -12y + y2) = 0 Solving 27 + -12y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {3, 9}
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