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Simplifying (y + -9)(y + 16) = 0 Reorder the terms: (-9 + y)(y + 16) = 0 Reorder the terms: (-9 + y)(16 + y) = 0 Multiply (-9 + y) * (16 + y) (-9(16 + y) + y(16 + y)) = 0 ((16 * -9 + y * -9) + y(16 + y)) = 0 ((-144 + -9y) + y(16 + y)) = 0 (-144 + -9y + (16 * y + y * y)) = 0 (-144 + -9y + (16y + y2)) = 0 Combine like terms: -9y + 16y = 7y (-144 + 7y + y2) = 0 Solving -144 + 7y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-16 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(-16 + -1y)' equal to zero and attempt to solve: Simplifying -16 + -1y = 0 Solving -16 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1y = 0 + 16 -1y = 0 + 16 Combine like terms: 0 + 16 = 16 -1y = 16 Divide each side by '-1'. y = -16 Simplifying y = -16Subproblem 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 = {-16, 9}
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