56=w(w+10)

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

Simplifying
56 = w(w + 10)

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

Solving
56 = 10w + w2

Solving for variable 'w'.

Reorder the terms:
56 + -10w + -1w2 = 10w + -10w + w2 + -1w2

Combine like terms: 10w + -10w = 0
56 + -10w + -1w2 = 0 + w2 + -1w2
56 + -10w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
56 + -10w + -1w2 = 0

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

Subproblem 1
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
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 = {4, -14}