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

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


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

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

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

Multiply (4 + y) * (4 + 3y)
(4(4 + 3y) + y(4 + 3y)) = 0
((4 * 4 + 3y * 4) + y(4 + 3y)) = 0
((16 + 12y) + y(4 + 3y)) = 0
(16 + 12y + (4 * y + 3y * y)) = 0
(16 + 12y + (4y + 3y2)) = 0

Combine like terms: 12y + 4y = 16y
(16 + 16y + 3y2) = 0

Solving
16 + 16y + 3y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4

Subproblem 2

Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333

Solution

y = {-4, -1.333333333}

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