W(W+4)=572

Solution for W(W+4)=572 equation:

Simplifying
W(W + 4) = 572

Reorder the terms:
W(4 + W) = 572
(4 * W + W * W) = 572
(4W + W2) = 572

Solving
4W + W2 = 572

Solving for variable 'W'.

Reorder the terms:
-572 + 4W + W2 = 572 + -572

Combine like terms: 572 + -572 = 0
-572 + 4W + W2 = 0

Factor a trinomial.
(-26 + -1W)(22 + -1W) = 0

Subproblem 1
Set the factor '(-26 + -1W)' equal to zero and attempt to solve:

Simplifying
-26 + -1W = 0

Solving
-26 + -1W = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1W = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1W = 0 + 26
-1W = 0 + 26

Combine like terms: 0 + 26 = 26
-1W = 26

Divide each side by '-1'.
W = -26

Simplifying
W = -26
Subproblem 2
Set the factor '(22 + -1W)' equal to zero and attempt to solve:

Simplifying
22 + -1W = 0

Solving
22 + -1W = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1W = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1W = 0 + -22
-1W = 0 + -22

Combine like terms: 0 + -22 = -22
-1W = -22

Divide each side by '-1'.
W = 22

Simplifying
W = 22
Solution
W = {-26, 22}