# (3+w)w=40

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## Solution for (3+w)w=40 equation:

Simplifying
(3 + w) * w = 40
Reorder the terms for easier multiplication:
w(3 + w) = 40
(3 * w + w * w) = 40
(3w + w2) = 40
Solving
3w + w2 = 40
Solving for variable 'w'.
Reorder the terms:
-40 + 3w + w2 = 40 + -40
Combine like terms: 40 + -40 = 0
-40 + 3w + w2 = 0
Factor a trinomial.
(-8 + -1w)(5 + -1w) = 0
Subproblem 1Set the factor '(-8 + -1w)' equal to zero and attempt to solve:
Simplifying
-8 + -1w = 0
Solving
-8 + -1w = 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 + -1w = 0 + 8
Combine like terms: -8 + 8 = 0
0 + -1w = 0 + 8
-1w = 0 + 8
Combine like terms: 0 + 8 = 8
-1w = 8
Divide each side by '-1'.
w = -8
Simplifying
w = -8
Subproblem 2Set 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 = 5Solutionw = {-8, 5}`