w^2+15w+324=0

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Solution for w^2+15w+324=0 equation:


Simplifying
w2 + 15w + 324 = 0

Reorder the terms:
324 + 15w + w2 = 0

Solving
324 + 15w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-324' to each side of the equation.
324 + 15w + -324 + w2 = 0 + -324

Reorder the terms:
324 + -324 + 15w + w2 = 0 + -324

Combine like terms: 324 + -324 = 0
0 + 15w + w2 = 0 + -324
15w + w2 = 0 + -324

Combine like terms: 0 + -324 = -324
15w + w2 = -324

The w term is 15w.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15w + 56.25 + w2 = -324 + 56.25

Reorder the terms:
56.25 + 15w + w2 = -324 + 56.25

Combine like terms: -324 + 56.25 = -267.75
56.25 + 15w + w2 = -267.75

Factor a perfect square on the left side:
(w + 7.5)(w + 7.5) = -267.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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