(w+1)(w+77)=

Solution for (w+1)(w+77)= equation:

Simplifying
(w + 1)(w + 77) = 0

Reorder the terms:
(1 + w)(w + 77) = 0

Reorder the terms:
(1 + w)(77 + w) = 0

Multiply (1 + w) * (77 + w)
(1(77 + w) + w(77 + w)) = 0
((77 * 1 + w * 1) + w(77 + w)) = 0
((77 + 1w) + w(77 + w)) = 0
(77 + 1w + (77 * w + w * w)) = 0
(77 + 1w + (77w + w2)) = 0

Combine like terms: 1w + 77w = 78w
(77 + 78w + w2) = 0

Solving
77 + 78w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(77 + w)(1 + w) = 0

Subproblem 1
Set the factor '(77 + w)' equal to zero and attempt to solve:

Simplifying
77 + w = 0

Solving
77 + w = 0

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

Add '-77' to each side of the equation.
77 + -77 + w = 0 + -77

Combine like terms: 77 + -77 = 0
0 + w = 0 + -77
w = 0 + -77

Combine like terms: 0 + -77 = -77
w = -77

Simplifying
w = -77
Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve:

Simplifying
1 + w = 0

Solving
1 + w = 0

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

Add '-1' to each side of the equation.
1 + -1 + w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + w = 0 + -1
w = 0 + -1

Combine like terms: 0 + -1 = -1
w = -1

Simplifying
w = -1
Solution
w = {-77, -1}