2.5x^2+2.5x+1=

Solution for 2.5x^2+2.5x+1= equation:

Simplifying
2.5x2 + 2.5x + 1 = 0

Reorder the terms:
1 + 2.5x + 2.5x2 = 0

Solving
1 + 2.5x + 2.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '2.5'.
0.4 + x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + x + x2 = 0 + -0.4
x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
x + x2 = -0.4

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.
 + 0.25 + x2 = -0.4 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.4 + 0.25

Combine like terms: -0.4 + 0.25 = -0.15
1.25 + x2 = -0.15

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.15

Can't calculate square root of the right side.

The solution to this equation could not be determined.