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Simplifying (2y + 15)(2y + 21) = 0 Reorder the terms: (15 + 2y)(2y + 21) = 0 Reorder the terms: (15 + 2y)(21 + 2y) = 0 Multiply (15 + 2y) * (21 + 2y) (15(21 + 2y) + 2y * (21 + 2y)) = 0 ((21 * 15 + 2y * 15) + 2y * (21 + 2y)) = 0 ((315 + 30y) + 2y * (21 + 2y)) = 0 (315 + 30y + (21 * 2y + 2y * 2y)) = 0 (315 + 30y + (42y + 4y2)) = 0 Combine like terms: 30y + 42y = 72y (315 + 72y + 4y2) = 0 Solving 315 + 72y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (21 + 2y)(15 + 2y) = 0Subproblem 1
Set the factor '(21 + 2y)' equal to zero and attempt to solve: Simplifying 21 + 2y = 0 Solving 21 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2y = 0 + -21 2y = 0 + -21 Combine like terms: 0 + -21 = -21 2y = -21 Divide each side by '2'. y = -10.5 Simplifying y = -10.5Subproblem 2
Set the factor '(15 + 2y)' equal to zero and attempt to solve: Simplifying 15 + 2y = 0 Solving 15 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = 0 + -15 2y = 0 + -15 Combine like terms: 0 + -15 = -15 2y = -15 Divide each side by '2'. y = -7.5 Simplifying y = -7.5Solution
y = {-10.5, -7.5}
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