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Simplifying (2y + -1)(9 + y) = 0 Reorder the terms: (-1 + 2y)(9 + y) = 0 Multiply (-1 + 2y) * (9 + y) (-1(9 + y) + 2y * (9 + y)) = 0 ((9 * -1 + y * -1) + 2y * (9 + y)) = 0 ((-9 + -1y) + 2y * (9 + y)) = 0 (-9 + -1y + (9 * 2y + y * 2y)) = 0 (-9 + -1y + (18y + 2y2)) = 0 Combine like terms: -1y + 18y = 17y (-9 + 17y + 2y2) = 0 Solving -9 + 17y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -1y)(1 + -2y) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-9, 0.5}
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