5x^2+13x+16=

Solution for 5x^2+13x+16= equation:

Simplifying
5x2 + 13x + 16 = 0

Reorder the terms:
16 + 13x + 5x2 = 0

Solving
16 + 13x + 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'.
3.2 + 2.6x + x2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + 2.6x + -3.2 + x2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + 2.6x + x2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 2.6x + x2 = 0 + -3.2
2.6x + x2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
2.6x + x2 = -3.2

The x term is 2.6x.  Take half its coefficient (1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
2.6x + 1.69 + x2 = -3.2 + 1.69

Reorder the terms:
1.69 + 2.6x + x2 = -3.2 + 1.69

Combine like terms: -3.2 + 1.69 = -1.51
1.69 + 2.6x + x2 = -1.51

Factor a perfect square on the left side:
(x + 1.3)(x + 1.3) = -1.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.