x^2+20x+220=0

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Solution for x^2+20x+220=0 equation:


Simplifying
x2 + 20x + 220 = 0

Reorder the terms:
220 + 20x + x2 = 0

Solving
220 + 20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-220' to each side of the equation.
220 + 20x + -220 + x2 = 0 + -220

Reorder the terms:
220 + -220 + 20x + x2 = 0 + -220

Combine like terms: 220 + -220 = 0
0 + 20x + x2 = 0 + -220
20x + x2 = 0 + -220

Combine like terms: 0 + -220 = -220
20x + x2 = -220

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

Add '100' to each side of the equation.
20x + 100 + x2 = -220 + 100

Reorder the terms:
100 + 20x + x2 = -220 + 100

Combine like terms: -220 + 100 = -120
100 + 20x + x2 = -120

Factor a perfect square on the left side:
(x + 10)(x + 10) = -120

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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