25x^2+25x+16=0

Solution for 25x^2+25x+16=0 equation:

Simplifying
25x2 + 25x + 16 = 0

Reorder the terms:
16 + 25x + 25x2 = 0

Solving
16 + 25x + 25x2 = 0

Solving for variable 'x'.

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

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

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + x + -0.64 + x2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + x + x2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + x + x2 = 0 + -0.64
x + x2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
x + x2 = -0.64

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 = -0.64 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.64 + 0.25

Combine like terms: -0.64 + 0.25 = -0.39
1.25 + x2 = -0.39

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.