19x^2+24x+16=0

Solution for 19x^2+24x+16=0 equation:

Simplifying
19x2 + 24x + 16 = 0

Reorder the terms:
16 + 24x + 19x2 = 0

Solving
16 + 24x + 19x2 = 0

Solving for variable 'x'.

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

Divide each side by '19'.
0.8421052632 + 1.263157895x + x2 = 0

Move the constant term to the right:

Add '-0.8421052632' to each side of the equation.
0.8421052632 + 1.263157895x + -0.8421052632 + x2 = 0 + -0.8421052632

Reorder the terms:
0.8421052632 + -0.8421052632 + 1.263157895x + x2 = 0 + -0.8421052632

Combine like terms: 0.8421052632 + -0.8421052632 = 0.0000000000
0.0000000000 + 1.263157895x + x2 = 0 + -0.8421052632
1.263157895x + x2 = 0 + -0.8421052632

Combine like terms: 0 + -0.8421052632 = -0.8421052632
1.263157895x + x2 = -0.8421052632

The x term is 1.263157895x.  Take half its coefficient (0.6315789475).
Square it (0.3988919669) and add it to both sides.

Add '0.3988919669' to each side of the equation.
1.263157895x + 0.3988919669 + x2 = -0.8421052632 + 0.3988919669

Reorder the terms:
0.3988919669 + 1.263157895x + x2 = -0.8421052632 + 0.3988919669

Combine like terms: -0.8421052632 + 0.3988919669 = -0.4432132963
0.3988919669 + 1.263157895x + x2 = -0.4432132963

Factor a perfect square on the left side:
(x + 0.6315789475)(x + 0.6315789475) = -0.4432132963

Can't calculate square root of the right side.

The solution to this equation could not be determined.