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Simplifying (5y + 27)(5y + 9) = 0 Reorder the terms: (27 + 5y)(5y + 9) = 0 Reorder the terms: (27 + 5y)(9 + 5y) = 0 Multiply (27 + 5y) * (9 + 5y) (27(9 + 5y) + 5y * (9 + 5y)) = 0 ((9 * 27 + 5y * 27) + 5y * (9 + 5y)) = 0 ((243 + 135y) + 5y * (9 + 5y)) = 0 (243 + 135y + (9 * 5y + 5y * 5y)) = 0 (243 + 135y + (45y + 25y2)) = 0 Combine like terms: 135y + 45y = 180y (243 + 180y + 25y2) = 0 Solving 243 + 180y + 25y2 = 0 Solving for variable 'y'. Factor a trinomial. (27 + 5y)(9 + 5y) = 0Subproblem 1
Set the factor '(27 + 5y)' equal to zero and attempt to solve: Simplifying 27 + 5y = 0 Solving 27 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 5y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 5y = 0 + -27 5y = 0 + -27 Combine like terms: 0 + -27 = -27 5y = -27 Divide each side by '5'. y = -5.4 Simplifying y = -5.4Subproblem 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 = {-5.4, -1.8}
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