17+4(3+a)a=

Solution for 17+4(3+a)a= equation:

Simplifying
17 + 4(3 + a) * a = 0

Reorder the terms for easier multiplication:
17 + 4a(3 + a) = 0
17 + (3 * 4a + a * 4a) = 0
17 + (12a + 4a2) = 0

Solving
17 + 12a + 4a2 = 0

Solving for variable 'a'.

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

Divide each side by '4'.
4.25 + 3a + a2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + 3a + -4.25 + a2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + 3a + a2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + 3a + a2 = 0 + -4.25
3a + a2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
3a + a2 = -4.25

The a term is 3a.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3a + 2.25 + a2 = -4.25 + 2.25

Reorder the terms:
2.25 + 3a + a2 = -4.25 + 2.25

Combine like terms: -4.25 + 2.25 = -2
2.25 + 3a + a2 = -2

Factor a perfect square on the left side:
(a + 1.5)(a + 1.5) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.