5x^2+29x+48=0

Solution for 5x^2+29x+48=0 equation:

Simplifying
5x2 + 29x + 48 = 0

Reorder the terms:
48 + 29x + 5x2 = 0

Solving
48 + 29x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
9.6 + 5.8x + x2 = 0

Move the constant term to the right:

Add '-9.6' to each side of the equation.
9.6 + 5.8x + -9.6 + x2 = 0 + -9.6

Reorder the terms:
9.6 + -9.6 + 5.8x + x2 = 0 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + 5.8x + x2 = 0 + -9.6
5.8x + x2 = 0 + -9.6

Combine like terms: 0 + -9.6 = -9.6
5.8x + x2 = -9.6

The x term is 5.8x.  Take half its coefficient (2.9).
Square it (8.41) and add it to both sides.

Add '8.41' to each side of the equation.
5.8x + 8.41 + x2 = -9.6 + 8.41

Reorder the terms:
8.41 + 5.8x + x2 = -9.6 + 8.41

Combine like terms: -9.6 + 8.41 = -1.19
8.41 + 5.8x + x2 = -1.19

Factor a perfect square on the left side:
(x + 2.9)(x + 2.9) = -1.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.