x^2+23*x+600=0

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Solution for x^2+23*x+600=0 equation:


Simplifying
x2 + 23x + 600 = 0

Reorder the terms:
600 + 23x + x2 = 0

Solving
600 + 23x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-600' to each side of the equation.
600 + 23x + -600 + x2 = 0 + -600

Reorder the terms:
600 + -600 + 23x + x2 = 0 + -600

Combine like terms: 600 + -600 = 0
0 + 23x + x2 = 0 + -600
23x + x2 = 0 + -600

Combine like terms: 0 + -600 = -600
23x + x2 = -600

The x term is 23x.  Take half its coefficient (11.5).
Square it (132.25) and add it to both sides.

Add '132.25' to each side of the equation.
23x + 132.25 + x2 = -600 + 132.25

Reorder the terms:
132.25 + 23x + x2 = -600 + 132.25

Combine like terms: -600 + 132.25 = -467.75
132.25 + 23x + x2 = -467.75

Factor a perfect square on the left side:
(x + 11.5)(x + 11.5) = -467.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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