(y+4)(y+10)=

Solution for (y+4)(y+10)= equation:

Simplifying
(y + 4)(y + 10) = 0

Reorder the terms:
(4 + y)(y + 10) = 0

Reorder the terms:
(4 + y)(10 + y) = 0

Multiply (4 + y) * (10 + y)
(4(10 + y) + y(10 + y)) = 0
((10 * 4 + y * 4) + y(10 + y)) = 0
((40 + 4y) + y(10 + y)) = 0
(40 + 4y + (10 * y + y * y)) = 0
(40 + 4y + (10y + y2)) = 0

Combine like terms: 4y + 10y = 14y
(40 + 14y + y2) = 0

Solving
40 + 14y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(10 + y)' equal to zero and attempt to solve:

Simplifying
10 + y = 0

Solving
10 + y = 0

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

Add '-10' to each side of the equation.
10 + -10 + y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + y = 0 + -10
y = 0 + -10

Combine like terms: 0 + -10 = -10
y = -10

Simplifying
y = -10
Subproblem 2
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
Solution
y = {-10, -4}