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Simplifying (y + -9)(y + -7) = 0 Reorder the terms: (-9 + y)(y + -7) = 0 Reorder the terms: (-9 + y)(-7 + y) = 0 Multiply (-9 + y) * (-7 + y) (-9(-7 + y) + y(-7 + y)) = 0 ((-7 * -9 + y * -9) + y(-7 + y)) = 0 ((63 + -9y) + y(-7 + y)) = 0 (63 + -9y + (-7 * y + y * y)) = 0 (63 + -9y + (-7y + y2)) = 0 Combine like terms: -9y + -7y = -16y (63 + -16y + y2) = 0 Solving 63 + -16y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Subproblem 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 = {7, 9}
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