w(w+2)-35=0

Solution for w(w+2)-35=0 equation:

Simplifying
w(w + 2) + -35 = 0

Reorder the terms:
w(2 + w) + -35 = 0
(2 * w + w * w) + -35 = 0
(2w + w2) + -35 = 0

Reorder the terms:
-35 + 2w + w2 = 0

Solving
-35 + 2w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -1w)(5 + -1w) = 0

Subproblem 1
Set the factor '(-7 + -1w)' equal to zero and attempt to solve:

Simplifying
-7 + -1w = 0

Solving
-7 + -1w = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1w = 0 + 7
-1w = 0 + 7

Combine like terms: 0 + 7 = 7
-1w = 7

Divide each side by '-1'.
w = -7

Simplifying
w = -7
Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
Solution
w = {-7, 5}