10x^2+10x+9=0

Solution for 10x^2+10x+9=0 equation:

Simplifying
10x2 + 10x + 9 = 0

Reorder the terms:
9 + 10x + 10x2 = 0

Solving
9 + 10x + 10x2 = 0

Solving for variable 'x'.

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

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

Move the constant term to the right:

Add '-0.9' to each side of the equation.
0.9 + x + -0.9 + x2 = 0 + -0.9

Reorder the terms:
0.9 + -0.9 + x + x2 = 0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + x + x2 = 0 + -0.9
x + x2 = 0 + -0.9

Combine like terms: 0 + -0.9 = -0.9
x + x2 = -0.9

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 = -0.9 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.9 + 0.25

Combine like terms: -0.9 + 0.25 = -0.65
1.25 + x2 = -0.65

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.65

Can't calculate square root of the right side.

The solution to this equation could not be determined.