(26+w)(2+w)=0

Solution for (26+w)(2+w)=0 equation:

Simplifying
(26 + w)(2 + w) = 0

Multiply (26 + w) * (2 + w)
(26(2 + w) + w(2 + w)) = 0
((2 * 26 + w * 26) + w(2 + w)) = 0
((52 + 26w) + w(2 + w)) = 0
(52 + 26w + (2 * w + w * w)) = 0
(52 + 26w + (2w + w2)) = 0

Combine like terms: 26w + 2w = 28w
(52 + 28w + w2) = 0

Solving
52 + 28w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(26 + w)(2 + w) = 0

Subproblem 1
Set the factor '(26 + w)' equal to zero and attempt to solve:

Simplifying
26 + w = 0

Solving
26 + w = 0

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

Add '-26' to each side of the equation.
26 + -26 + w = 0 + -26

Combine like terms: 26 + -26 = 0
0 + w = 0 + -26
w = 0 + -26

Combine like terms: 0 + -26 = -26
w = -26

Simplifying
w = -26
Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve:

Simplifying
2 + w = 0

Solving
2 + w = 0

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

Add '-2' to each side of the equation.
2 + -2 + w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + w = 0 + -2
w = 0 + -2

Combine like terms: 0 + -2 = -2
w = -2

Simplifying
w = -2
Solution
w = {-26, -2}