(3+y)(4y+9)=0

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Solution for (3+y)(4y+9)=0 equation:


Simplifying
(3 + y)(4y + 9) = 0

Reorder the terms:
(3 + y)(9 + 4y) = 0

Multiply (3 + y) * (9 + 4y)
(3(9 + 4y) + y(9 + 4y)) = 0
((9 * 3 + 4y * 3) + y(9 + 4y)) = 0
((27 + 12y) + y(9 + 4y)) = 0
(27 + 12y + (9 * y + 4y * y)) = 0
(27 + 12y + (9y + 4y2)) = 0

Combine like terms: 12y + 9y = 21y
(27 + 21y + 4y2) = 0

Solving
27 + 21y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + y)(9 + 4y) = 0

Subproblem 1

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

Subproblem 2

Set the factor '(9 + 4y)' equal to zero and attempt to solve: Simplifying 9 + 4y = 0 Solving 9 + 4y = 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 + 4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 0 + -9 4y = 0 + -9 Combine like terms: 0 + -9 = -9 4y = -9 Divide each side by '4'. y = -2.25 Simplifying y = -2.25

Solution

y = {-3, -2.25}

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