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Simplifying (5y + 29)(2y + 23) = 0 Reorder the terms: (29 + 5y)(2y + 23) = 0 Reorder the terms: (29 + 5y)(23 + 2y) = 0 Multiply (29 + 5y) * (23 + 2y) (29(23 + 2y) + 5y * (23 + 2y)) = 0 ((23 * 29 + 2y * 29) + 5y * (23 + 2y)) = 0 ((667 + 58y) + 5y * (23 + 2y)) = 0 (667 + 58y + (23 * 5y + 2y * 5y)) = 0 (667 + 58y + (115y + 10y2)) = 0 Combine like terms: 58y + 115y = 173y (667 + 173y + 10y2) = 0 Solving 667 + 173y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (23 + 2y)(29 + 5y) = 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 + 5y)' equal to zero and attempt to solve: Simplifying 29 + 5y = 0 Solving 29 + 5y = 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 + 5y = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 5y = 0 + -29 5y = 0 + -29 Combine like terms: 0 + -29 = -29 5y = -29 Divide each side by '5'. y = -5.8 Simplifying y = -5.8Solution
y = {-11.5, -5.8}
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