10x^2+2.5x+5=-1

Solution for 10x^2+2.5x+5=-1 equation:

Simplifying
10x2 + 2.5x + 5 = -1

Reorder the terms:
5 + 2.5x + 10x2 = -1

Solving
5 + 2.5x + 10x2 = -1

Solving for variable 'x'.

Reorder the terms:
5 + 1 + 2.5x + 10x2 = -1 + 1

Combine like terms: 5 + 1 = 6
6 + 2.5x + 10x2 = -1 + 1

Combine like terms: -1 + 1 = 0
6 + 2.5x + 10x2 = 0

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

Divide each side by '10'.
0.6 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.25x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.25x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.25x + x2 = 0 + -0.6
0.25x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
0.25x + x2 = -0.6

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -0.6 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.6 + 0.015625

Combine like terms: -0.6 + 0.015625 = -0.584375
0.015625 + 0.25x + x2 = -0.584375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.584375

Can't calculate square root of the right side.

The solution to this equation could not be determined.