x^2+x+600=0

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


Simplifying
x2 + x + 600 = 0

Reorder the terms:
600 + x + x2 = 0

Solving
600 + x + 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 + x + -600 + x2 = 0 + -600

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

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

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

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -600 + 0.25

Reorder the terms:
0.25 + x + x2 = -600 + 0.25

Combine like terms: -600 + 0.25 = -599.75
0.25 + x + x2 = -599.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -599.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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