629=(3+2w)(w)

Solution for 629=(3+2w)(w) equation:

Simplifying
629 = (3 + 2w)(w)

Reorder the terms for easier multiplication:
629 = w(3 + 2w)
629 = (3 * w + 2w * w)
629 = (3w + 2w2)

Solving
629 = 3w + 2w2

Solving for variable 'w'.

Reorder the terms:
629 + -3w + -2w2 = 3w + -3w + 2w2 + -2w2

Combine like terms: 3w + -3w = 0
629 + -3w + -2w2 = 0 + 2w2 + -2w2
629 + -3w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
629 + -3w + -2w2 = 0

Factor a trinomial.
(17 + -1w)(37 + 2w) = 0

Subproblem 1
Set the factor '(17 + -1w)' equal to zero and attempt to solve:

Simplifying
17 + -1w = 0

Solving
17 + -1w = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1w = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1w = 0 + -17
-1w = 0 + -17

Combine like terms: 0 + -17 = -17
-1w = -17

Divide each side by '-1'.
w = 17

Simplifying
w = 17
Subproblem 2
Set the factor '(37 + 2w)' equal to zero and attempt to solve:

Simplifying
37 + 2w = 0

Solving
37 + 2w = 0

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

Add '-37' to each side of the equation.
37 + -37 + 2w = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 2w = 0 + -37
2w = 0 + -37

Combine like terms: 0 + -37 = -37
2w = -37

Divide each side by '2'.
w = -18.5

Simplifying
w = -18.5
Solution
w = {17, -18.5}