171=(W+10)W

Solution for 171=(W+10)W equation:

Simplifying
171 = (W + 10) * W

Reorder the terms:
171 = (10 + W) * W

Reorder the terms for easier multiplication:
171 = W(10 + W)
171 = (10 * W + W * W)
171 = (10W + W2)

Solving
171 = 10W + W2

Solving for variable 'W'.

Reorder the terms:
171 + -10W + -1W2 = 10W + -10W + W2 + -1W2

Combine like terms: 10W + -10W = 0
171 + -10W + -1W2 = 0 + W2 + -1W2
171 + -10W + -1W2 = W2 + -1W2

Combine like terms: W2 + -1W2 = 0
171 + -10W + -1W2 = 0

Factor a trinomial.
(9 + -1W)(19 + W) = 0

Subproblem 1
Set the factor '(9 + -1W)' equal to zero and attempt to solve:

Simplifying
9 + -1W = 0

Solving
9 + -1W = 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 + -1W = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1W = 0 + -9
-1W = 0 + -9

Combine like terms: 0 + -9 = -9
-1W = -9

Divide each side by '-1'.
W = 9

Simplifying
W = 9
Subproblem 2
Set the factor '(19 + W)' equal to zero and attempt to solve:

Simplifying
19 + W = 0

Solving
19 + W = 0

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

Add '-19' to each side of the equation.
19 + -19 + W = 0 + -19

Combine like terms: 19 + -19 = 0
0 + W = 0 + -19
W = 0 + -19

Combine like terms: 0 + -19 = -19
W = -19

Simplifying
W = -19
Solution
W = {9, -19}