(2y+3)(y+3)=0

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Solution for (2y+3)(y+3)=0 equation:


Simplifying
(2y + 3)(y + 3) = 0

Reorder the terms:
(3 + 2y)(y + 3) = 0

Reorder the terms:
(3 + 2y)(3 + y) = 0

Multiply (3 + 2y) * (3 + y)
(3(3 + y) + 2y * (3 + y)) = 0
((3 * 3 + y * 3) + 2y * (3 + y)) = 0
((9 + 3y) + 2y * (3 + y)) = 0
(9 + 3y + (3 * 2y + y * 2y)) = 0
(9 + 3y + (6y + 2y2)) = 0

Combine like terms: 3y + 6y = 9y
(9 + 9y + 2y2) = 0

Solving
9 + 9y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + y)(3 + 2y) = 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 '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5

Solution

y = {-3, -1.5}

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