(W-6)(W-6)=25

Solution for (W-6)(W-6)=25 equation:

Simplifying
(W + -6)(W + -6) = 25

Reorder the terms:
(-6 + W)(W + -6) = 25

Reorder the terms:
(-6 + W)(-6 + W) = 25

Multiply (-6 + W) * (-6 + W)
(-6(-6 + W) + W(-6 + W)) = 25
((-6 * -6 + W * -6) + W(-6 + W)) = 25
((36 + -6W) + W(-6 + W)) = 25
(36 + -6W + (-6 * W + W * W)) = 25
(36 + -6W + (-6W + W2)) = 25

Combine like terms: -6W + -6W = -12W
(36 + -12W + W2) = 25

Solving
36 + -12W + W2 = 25

Solving for variable 'W'.

Reorder the terms:
36 + -25 + -12W + W2 = 25 + -25

Combine like terms: 36 + -25 = 11
11 + -12W + W2 = 25 + -25

Combine like terms: 25 + -25 = 0
11 + -12W + W2 = 0

Factor a trinomial.
(1 + -1W)(11 + -1W) = 0

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

Simplifying
1 + -1W = 0

Solving
1 + -1W = 0

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

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

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

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

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

Simplifying
W = 1
Subproblem 2
Set the factor '(11 + -1W)' equal to zero and attempt to solve:

Simplifying
11 + -1W = 0

Solving
11 + -1W = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1W = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1W = 0 + -11
-1W = 0 + -11

Combine like terms: 0 + -11 = -11
-1W = -11

Divide each side by '-1'.
W = 11

Simplifying
W = 11
Solution
W = {1, 11}