24r^2+29r+9=

Solution for 24r^2+29r+9= equation:

Simplifying
24r2 + 29r + 9 = 0

Reorder the terms:
9 + 29r + 24r2 = 0

Solving
9 + 29r + 24r2 = 0

Solving for variable 'r'.

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

Divide each side by '24'.
0.375 + 1.208333333r + r2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 1.208333333r + -0.375 + r2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 1.208333333r + r2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 1.208333333r + r2 = 0 + -0.375
1.208333333r + r2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
1.208333333r + r2 = -0.375

The r term is 1.208333333r.  Take half its coefficient (0.6041666665).
Square it (0.3650173609) and add it to both sides.

Add '0.3650173609' to each side of the equation.
1.208333333r + 0.3650173609 + r2 = -0.375 + 0.3650173609

Reorder the terms:
0.3650173609 + 1.208333333r + r2 = -0.375 + 0.3650173609

Combine like terms: -0.375 + 0.3650173609 = -0.0099826391
0.3650173609 + 1.208333333r + r2 = -0.0099826391

Factor a perfect square on the left side:
(r + 0.6041666665)(r + 0.6041666665) = -0.0099826391

Can't calculate square root of the right side.

The solution to this equation could not be determined.