143=w(w+2)

Solution for 143=w(w+2) equation:

Simplifying
143 = w(w + 2)

Reorder the terms:
143 = w(2 + w)
143 = (2 * w + w * w)
143 = (2w + w2)

Solving
143 = 2w + w2

Solving for variable 'w'.

Reorder the terms:
143 + -2w + -1w2 = 2w + -2w + w2 + -1w2

Combine like terms: 2w + -2w = 0
143 + -2w + -1w2 = 0 + w2 + -1w2
143 + -2w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
143 + -2w + -1w2 = 0

Factor a trinomial.
(11 + -1w)(13 + w) = 0

Subproblem 1
Set the factor '(11 + -1w)' equal to zero and attempt to solve:

Simplifying
11 + -1w = 0

Solving
11 + -1w = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1w = 0 + -11
-1w = 0 + -11

Combine like terms: 0 + -11 = -11
-1w = -11

Divide each side by '-1'.
w = 11

Simplifying
w = 11
Subproblem 2
Set the factor '(13 + w)' equal to zero and attempt to solve:

Simplifying
13 + w = 0

Solving
13 + w = 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 + w = 0 + -13

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

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

Simplifying
w = -13
Solution
w = {11, -13}