140=w(w+4)

Solution for 140=w(w+4) equation:

Simplifying
140 = w(w + 4)

Reorder the terms:
140 = w(4 + w)
140 = (4 * w + w * w)
140 = (4w + w2)

Solving
140 = 4w + w2

Solving for variable 'w'.

Reorder the terms:
140 + -4w + -1w2 = 4w + -4w + w2 + -1w2

Combine like terms: 4w + -4w = 0
140 + -4w + -1w2 = 0 + w2 + -1w2
140 + -4w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
140 + -4w + -1w2 = 0

Factor a trinomial.
(10 + -1w)(14 + w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(14 + w)' equal to zero and attempt to solve:

Simplifying
14 + w = 0

Solving
14 + w = 0

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

Add '-14' to each side of the equation.
14 + -14 + w = 0 + -14

Combine like terms: 14 + -14 = 0
0 + w = 0 + -14
w = 0 + -14

Combine like terms: 0 + -14 = -14
w = -14

Simplifying
w = -14
Solution
w = {10, -14}