(5w+6)(8+w)=0

Solution for (5w+6)(8+w)=0 equation:

Simplifying
(5w + 6)(8 + w) = 0

Reorder the terms:
(6 + 5w)(8 + w) = 0

Multiply (6 + 5w) * (8 + w)
(6(8 + w) + 5w * (8 + w)) = 0
((8 * 6 + w * 6) + 5w * (8 + w)) = 0
((48 + 6w) + 5w * (8 + w)) = 0
(48 + 6w + (8 * 5w + w * 5w)) = 0
(48 + 6w + (40w + 5w2)) = 0

Combine like terms: 6w + 40w = 46w
(48 + 46w + 5w2) = 0

Solving
48 + 46w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + w)(6 + 5w) = 0

Subproblem 1
Set the factor '(8 + w)' equal to zero and attempt to solve:

Simplifying
8 + w = 0

Solving
8 + w = 0

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

Add '-8' to each side of the equation.
8 + -8 + w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + w = 0 + -8
w = 0 + -8

Combine like terms: 0 + -8 = -8
w = -8

Simplifying
w = -8
Subproblem 2
Set the factor '(6 + 5w)' equal to zero and attempt to solve:

Simplifying
6 + 5w = 0

Solving
6 + 5w = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5w = 0 + -6
5w = 0 + -6

Combine like terms: 0 + -6 = -6
5w = -6

Divide each side by '5'.
w = -1.2

Simplifying
w = -1.2
Solution
w = {-8, -1.2}