63=w(w+2)

Solution for 63=w(w+2) equation:

Simplifying
63 = w(w + 2)

Reorder the terms:
63 = w(2 + w)
63 = (2 * w + w * w)
63 = (2w + w2)

Solving
63 = 2w + w2

Solving for variable 'w'.

Reorder the terms:
63 + -2w + -1w2 = 2w + -2w + w2 + -1w2

Combine like terms: 2w + -2w = 0
63 + -2w + -1w2 = 0 + w2 + -1w2
63 + -2w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
63 + -2w + -1w2 = 0

Factor a trinomial.
(7 + -1w)(9 + w) = 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 '(9 + w)' equal to zero and attempt to solve:

Simplifying
9 + w = 0

Solving
9 + w = 0

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

Add '-9' to each side of the equation.
9 + -9 + w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + w = 0 + -9
w = 0 + -9

Combine like terms: 0 + -9 = -9
w = -9

Simplifying
w = -9
Solution
w = {7, -9}