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Simplifying (y + 8)(y + -12) = 0 Reorder the terms: (8 + y)(y + -12) = 0 Reorder the terms: (8 + y)(-12 + y) = 0 Multiply (8 + y) * (-12 + y) (8(-12 + y) + y(-12 + y)) = 0 ((-12 * 8 + y * 8) + y(-12 + y)) = 0 ((-96 + 8y) + y(-12 + y)) = 0 (-96 + 8y + (-12 * y + y * y)) = 0 (-96 + 8y + (-12y + y2)) = 0 Combine like terms: 8y + -12y = -4y (-96 + -4y + y2) = 0 Solving -96 + -4y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + -1y)(12 + -1y) = 0Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Solution
y = {-8, 12}
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