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Simplifying (8y + 9)(4y + 13) = 0 Reorder the terms: (9 + 8y)(4y + 13) = 0 Reorder the terms: (9 + 8y)(13 + 4y) = 0 Multiply (9 + 8y) * (13 + 4y) (9(13 + 4y) + 8y * (13 + 4y)) = 0 ((13 * 9 + 4y * 9) + 8y * (13 + 4y)) = 0 ((117 + 36y) + 8y * (13 + 4y)) = 0 (117 + 36y + (13 * 8y + 4y * 8y)) = 0 (117 + 36y + (104y + 32y2)) = 0 Combine like terms: 36y + 104y = 140y (117 + 140y + 32y2) = 0 Solving 117 + 140y + 32y2 = 0 Solving for variable 'y'. Factor a trinomial. (13 + 4y)(9 + 8y) = 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 '(9 + 8y)' equal to zero and attempt to solve: Simplifying 9 + 8y = 0 Solving 9 + 8y = 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 + 8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8y = 0 + -9 8y = 0 + -9 Combine like terms: 0 + -9 = -9 8y = -9 Divide each side by '8'. y = -1.125 Simplifying y = -1.125Solution
y = {-3.25, -1.125}
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