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Simplifying (2y + 5)(4y + 13) = 0 Reorder the terms: (5 + 2y)(4y + 13) = 0 Reorder the terms: (5 + 2y)(13 + 4y) = 0 Multiply (5 + 2y) * (13 + 4y) (5(13 + 4y) + 2y * (13 + 4y)) = 0 ((13 * 5 + 4y * 5) + 2y * (13 + 4y)) = 0 ((65 + 20y) + 2y * (13 + 4y)) = 0 (65 + 20y + (13 * 2y + 4y * 2y)) = 0 (65 + 20y + (26y + 8y2)) = 0 Combine like terms: 20y + 26y = 46y (65 + 46y + 8y2) = 0 Solving 65 + 46y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (13 + 4y)(5 + 2y) = 0Subproblem 1
Set the factor '(13 + 4y)' equal to zero and attempt to solve: Simplifying 13 + 4y = 0 Solving 13 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4y = 0 + -13 4y = 0 + -13 Combine like terms: 0 + -13 = -13 4y = -13 Divide each side by '4'. y = -3.25 Simplifying y = -3.25Subproblem 2
Set the factor '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Solution
y = {-3.25, -2.5}
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