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

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Solution for (7+y)(3y+4)=0 equation: 


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

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

Multiply (7 + y) * (4 + 3y)
(7(4 + 3y) + y(4 + 3y)) = 0
((4 * 7 + 3y * 7) + y(4 + 3y)) = 0
((28 + 21y) + y(4 + 3y)) = 0
(28 + 21y + (4 * y + 3y * y)) = 0
(28 + 21y + (4y + 3y2)) = 0

Combine like terms: 21y + 4y = 25y
(28 + 25y + 3y2) = 0

Solving
28 + 25y + 3y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve:

Simplifying
7 + y = 0

Solving
7 + y = 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 + y = 0 + -7

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

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

Simplifying
y = -7

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 = {-7, -1.333333333}

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