x^2+36x+550=0

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Solution for x^2+36x+550=0 equation:


Simplifying
x2 + 36x + 550 = 0

Reorder the terms:
550 + 36x + x2 = 0

Solving
550 + 36x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-550' to each side of the equation.
550 + 36x + -550 + x2 = 0 + -550

Reorder the terms:
550 + -550 + 36x + x2 = 0 + -550

Combine like terms: 550 + -550 = 0
0 + 36x + x2 = 0 + -550
36x + x2 = 0 + -550

Combine like terms: 0 + -550 = -550
36x + x2 = -550

The x term is 36x.  Take half its coefficient (18).
Square it (324) and add it to both sides.

Add '324' to each side of the equation.
36x + 324 + x2 = -550 + 324

Reorder the terms:
324 + 36x + x2 = -550 + 324

Combine like terms: -550 + 324 = -226
324 + 36x + x2 = -226

Factor a perfect square on the left side:
(x + 18)(x + 18) = -226

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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