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

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Solution for (8+y)(3y+4)=0 equation:


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

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

Multiply (8 + y) * (4 + 3y)
(8(4 + 3y) + y(4 + 3y)) = 0
((4 * 8 + 3y * 8) + y(4 + 3y)) = 0
((32 + 24y) + y(4 + 3y)) = 0
(32 + 24y + (4 * y + 3y * y)) = 0
(32 + 24y + (4y + 3y2)) = 0

Combine like terms: 24y + 4y = 28y
(32 + 28y + 3y2) = 0

Solving
32 + 28y + 3y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8

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 = {-8, -1.333333333}

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