(w+3)(w)=130

Solution for (w+3)(w)=130 equation:

Simplifying
(w + 3)(w) = 130

Reorder the terms:
(3 + w)(w) = 130

Reorder the terms for easier multiplication:
w(3 + w) = 130
(3 * w + w * w) = 130
(3w + w2) = 130

Solving
3w + w2 = 130

Solving for variable 'w'.

Reorder the terms:
-130 + 3w + w2 = 130 + -130

Combine like terms: 130 + -130 = 0
-130 + 3w + w2 = 0

Factor a trinomial.
(-13 + -1w)(10 + -1w) = 0

Subproblem 1
Set the factor '(-13 + -1w)' equal to zero and attempt to solve:

Simplifying
-13 + -1w = 0

Solving
-13 + -1w = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1w = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1w = 0 + 13
-1w = 0 + 13

Combine like terms: 0 + 13 = 13
-1w = 13

Divide each side by '-1'.
w = -13

Simplifying
w = -13
Subproblem 2
Set the factor '(10 + -1w)' equal to zero and attempt to solve:

Simplifying
10 + -1w = 0

Solving
10 + -1w = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1w = 0 + -10
-1w = 0 + -10

Combine like terms: 0 + -10 = -10
-1w = -10

Divide each side by '-1'.
w = 10

Simplifying
w = 10
Solution
w = {-13, 10}