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Simplifying (2y + 23)(4y + 29) = 0 Reorder the terms: (23 + 2y)(4y + 29) = 0 Reorder the terms: (23 + 2y)(29 + 4y) = 0 Multiply (23 + 2y) * (29 + 4y) (23(29 + 4y) + 2y * (29 + 4y)) = 0 ((29 * 23 + 4y * 23) + 2y * (29 + 4y)) = 0 ((667 + 92y) + 2y * (29 + 4y)) = 0 (667 + 92y + (29 * 2y + 4y * 2y)) = 0 (667 + 92y + (58y + 8y2)) = 0 Combine like terms: 92y + 58y = 150y (667 + 150y + 8y2) = 0 Solving 667 + 150y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (23 + 2y)(29 + 4y) = 0Subproblem 1
Set the factor '(23 + 2y)' equal to zero and attempt to solve: Simplifying 23 + 2y = 0 Solving 23 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2y = 0 + -23 2y = 0 + -23 Combine like terms: 0 + -23 = -23 2y = -23 Divide each side by '2'. y = -11.5 Simplifying y = -11.5Subproblem 2
Set the factor '(29 + 4y)' equal to zero and attempt to solve: Simplifying 29 + 4y = 0 Solving 29 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 4y = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4y = 0 + -29 4y = 0 + -29 Combine like terms: 0 + -29 = -29 4y = -29 Divide each side by '4'. y = -7.25 Simplifying y = -7.25Solution
y = {-11.5, -7.25}
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