(Y+4)(Y+3)=

Solution for (Y+4)(Y+3)= equation:

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

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

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

Multiply (4 + Y) * (3 + Y)
(4(3 + Y) + Y(3 + Y)) = 0
((3 * 4 + Y * 4) + Y(3 + Y)) = 0
((12 + 4Y) + Y(3 + Y)) = 0
(12 + 4Y + (3 * Y + Y * Y)) = 0
(12 + 4Y + (3Y + Y2)) = 0

Combine like terms: 4Y + 3Y = 7Y
(12 + 7Y + Y2) = 0

Solving
12 + 7Y + Y2 = 0

Solving for variable 'Y'.

Factor a trinomial.
(4 + Y)(3 + Y) = 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 '(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
Solution
Y = {-4, -3}