x^2+22x+240=0

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Solution for x^2+22x+240=0 equation:


Simplifying
x2 + 22x + 240 = 0

Reorder the terms:
240 + 22x + x2 = 0

Solving
240 + 22x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-240' to each side of the equation.
240 + 22x + -240 + x2 = 0 + -240

Reorder the terms:
240 + -240 + 22x + x2 = 0 + -240

Combine like terms: 240 + -240 = 0
0 + 22x + x2 = 0 + -240
22x + x2 = 0 + -240

Combine like terms: 0 + -240 = -240
22x + x2 = -240

The x term is 22x.  Take half its coefficient (11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
22x + 121 + x2 = -240 + 121

Reorder the terms:
121 + 22x + x2 = -240 + 121

Combine like terms: -240 + 121 = -119
121 + 22x + x2 = -119

Factor a perfect square on the left side:
(x + 11)(x + 11) = -119

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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