w^2+20w+300=0

Solution for w^2+20w+300=0 equation:

Simplifying
w2 + 20w + 300 = 0

Reorder the terms:
300 + 20w + w2 = 0

Solving
300 + 20w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-300' to each side of the equation.
300 + 20w + -300 + w2 = 0 + -300

Reorder the terms:
300 + -300 + 20w + w2 = 0 + -300

Combine like terms: 300 + -300 = 0
0 + 20w + w2 = 0 + -300
20w + w2 = 0 + -300

Combine like terms: 0 + -300 = -300
20w + w2 = -300

The w term is 20w.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20w + 100 + w2 = -300 + 100

Reorder the terms:
100 + 20w + w2 = -300 + 100

Combine like terms: -300 + 100 = -200
100 + 20w + w2 = -200

Factor a perfect square on the left side:
(w + 10)(w + 10) = -200

Can't calculate square root of the right side.

The solution to this equation could not be determined.