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Simplifying (1 + y)(5y + 9) = 0 Reorder the terms: (1 + y)(9 + 5y) = 0 Multiply (1 + y) * (9 + 5y) (1(9 + 5y) + y(9 + 5y)) = 0 ((9 * 1 + 5y * 1) + y(9 + 5y)) = 0 ((9 + 5y) + y(9 + 5y)) = 0 (9 + 5y + (9 * y + 5y * y)) = 0 (9 + 5y + (9y + 5y2)) = 0 Combine like terms: 5y + 9y = 14y (9 + 14y + 5y2) = 0 Solving 9 + 14y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + 5y)(1 + y) = 0Subproblem 1
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 = -1.8Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-1.8, -1}
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