4c^2+10c+9=0

Solution for 4c^2+10c+9=0 equation:

Simplifying
4c2 + 10c + 9 = 0

Reorder the terms:
9 + 10c + 4c2 = 0

Solving
9 + 10c + 4c2 = 0

Solving for variable 'c'.

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

Divide each side by '4'.
2.25 + 2.5c + c2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + 2.5c + -2.25 + c2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + 2.5c + c2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 2.5c + c2 = 0 + -2.25
2.5c + c2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
2.5c + c2 = -2.25

The c term is 2.5c.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5c + 1.5625 + c2 = -2.25 + 1.5625

Reorder the terms:
1.5625 + 2.5c + c2 = -2.25 + 1.5625

Combine like terms: -2.25 + 1.5625 = -0.6875
1.5625 + 2.5c + c2 = -0.6875

Factor a perfect square on the left side:
(c + 1.25)(c + 1.25) = -0.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.