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Simplifying (2 + -1y)(5y + 9) = 0 Reorder the terms: (2 + -1y)(9 + 5y) = 0 Multiply (2 + -1y) * (9 + 5y) (2(9 + 5y) + -1y * (9 + 5y)) = 0 ((9 * 2 + 5y * 2) + -1y * (9 + 5y)) = 0 ((18 + 10y) + -1y * (9 + 5y)) = 0 (18 + 10y + (9 * -1y + 5y * -1y)) = 0 (18 + 10y + (-9y + -5y2)) = 0 Combine like terms: 10y + -9y = 1y (18 + 1y + -5y2) = 0 Solving 18 + 1y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -1y)(9 + 5y) = 0Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 2
Set the factor '(9 + 5y)' equal to zero and attempt to solve: Simplifying 9 + 5y = 0 Solving 9 + 5y = 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 + 5y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5y = 0 + -9 5y = 0 + -9 Combine like terms: 0 + -9 = -9 5y = -9 Divide each side by '5'. y = -1.8 Simplifying y = -1.8Solution
y = {2, -1.8}
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