0=w^2-30w+400

Solution for 0=w^2-30w+400 equation:

Simplifying
0 = w2 + -30w + 400

Reorder the terms:
0 = 400 + -30w + w2

Solving
0 = 400 + -30w + w2

Solving for variable 'w'.

Combine like terms: 0 + -400 = -400
-400 + 30w + -1w2 = 400 + -30w + w2 + -400 + 30w + -1w2

Reorder the terms:
-400 + 30w + -1w2 = 400 + -400 + -30w + 30w + w2 + -1w2

Combine like terms: 400 + -400 = 0
-400 + 30w + -1w2 = 0 + -30w + 30w + w2 + -1w2
-400 + 30w + -1w2 = -30w + 30w + w2 + -1w2

Combine like terms: -30w + 30w = 0
-400 + 30w + -1w2 = 0 + w2 + -1w2
-400 + 30w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-400 + 30w + -1w2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
400 + -30w + w2 = 0

Move the constant term to the right:

Add '-400' to each side of the equation.
400 + -30w + -400 + w2 = 0 + -400

Reorder the terms:
400 + -400 + -30w + w2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -30w + w2 = 0 + -400
-30w + w2 = 0 + -400

Combine like terms: 0 + -400 = -400
-30w + w2 = -400

The w term is -30w.  Take half its coefficient (-15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
-30w + 225 + w2 = -400 + 225

Reorder the terms:
225 + -30w + w2 = -400 + 225

Combine like terms: -400 + 225 = -175
225 + -30w + w2 = -175

Factor a perfect square on the left side:
(w + -15)(w + -15) = -175

Can't calculate square root of the right side.

The solution to this equation could not be determined.