0.1*x^2+x+2.5=0

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Solution for 0.1*x^2+x+2.5=0 equation:


Simplifying
0.1x2 + x + 2.5 = 0

Reorder the terms:
2.5 + x + 0.1x2 = 0

Solving
2.5 + x + 0.1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.1 the coefficient of the squared term: 

Divide each side by '0.1'.
25 + 10x + x2 = 0

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 10x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + 10x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 10x + x2 = 0 + -25
10x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
10x + x2 = -25

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.
10x + 0.25 + x2 = -25 + 0.25

Reorder the terms:
0.25 + 10x + x2 = -25 + 0.25

Combine like terms: -25 + 0.25 = -24.75
0.25 + 10x + x2 = -24.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -24.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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