w(w+10)=56

Solution for w(w+10)=56 equation:

Simplifying
w(w + 10) = 56

Reorder the terms:
w(10 + w) = 56
(10 * w + w * w) = 56
(10w + w2) = 56

Solving
10w + w2 = 56

Solving for variable 'w'.

Reorder the terms:
-56 + 10w + w2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + 10w + w2 = 0

Factor a trinomial.
(-14 + -1w)(4 + -1w) = 0

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

Simplifying
-14 + -1w = 0

Solving
-14 + -1w = 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 + -1w = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1w = 0 + 14
-1w = 0 + 14

Combine like terms: 0 + 14 = 14
-1w = 14

Divide each side by '-1'.
w = -14

Simplifying
w = -14
Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

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

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

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Solution
w = {-14, 4}