(9y+5)(9y+29)=0

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Solution for (9y+5)(9y+29)=0 equation:


Simplifying
(9y + 5)(9y + 29) = 0

Reorder the terms:
(5 + 9y)(9y + 29) = 0

Reorder the terms:
(5 + 9y)(29 + 9y) = 0

Multiply (5 + 9y) * (29 + 9y)
(5(29 + 9y) + 9y * (29 + 9y)) = 0
((29 * 5 + 9y * 5) + 9y * (29 + 9y)) = 0
((145 + 45y) + 9y * (29 + 9y)) = 0
(145 + 45y + (29 * 9y + 9y * 9y)) = 0
(145 + 45y + (261y + 81y2)) = 0

Combine like terms: 45y + 261y = 306y
(145 + 306y + 81y2) = 0

Solving
145 + 306y + 81y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(29 + 9y)(5 + 9y) = 0

Subproblem 1

Set the factor '(29 + 9y)' equal to zero and attempt to solve: Simplifying 29 + 9y = 0 Solving 29 + 9y = 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 + 9y = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 9y = 0 + -29 9y = 0 + -29 Combine like terms: 0 + -29 = -29 9y = -29 Divide each side by '9'. y = -3.222222222 Simplifying y = -3.222222222

Subproblem 2

Set the factor '(5 + 9y)' equal to zero and attempt to solve: Simplifying 5 + 9y = 0 Solving 5 + 9y = 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 + 9y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9y = 0 + -5 9y = 0 + -5 Combine like terms: 0 + -5 = -5 9y = -5 Divide each side by '9'. y = -0.5555555556 Simplifying y = -0.5555555556

Solution

y = {-3.222222222, -0.5555555556}

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