(8+y)(4y+7)=0

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Solution for (8+y)(4y+7)=0 equation: 


Simplifying
(8 + y)(4y + 7) = 0

Reorder the terms:
(8 + y)(7 + 4y) = 0

Multiply (8 + y) * (7 + 4y)
(8(7 + 4y) + y(7 + 4y)) = 0
((7 * 8 + 4y * 8) + y(7 + 4y)) = 0
((56 + 32y) + y(7 + 4y)) = 0
(56 + 32y + (7 * y + 4y * y)) = 0
(56 + 32y + (7y + 4y2)) = 0

Combine like terms: 32y + 7y = 39y
(56 + 39y + 4y2) = 0

Solving
56 + 39y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + y)(7 + 4y) = 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 '(7 + 4y)' equal to zero and attempt to solve:

Simplifying
7 + 4y = 0

Solving
7 + 4y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = 0 + -7
4y = 0 + -7

Combine like terms: 0 + -7 = -7
4y = -7

Divide each side by '4'.
y = -1.75

Simplifying
y = -1.75
Solution
y = {-8, -1.75}

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