a^2+17a+156=0

Solution for a^2+17a+156=0 equation:

Simplifying
a2 + 17a + 156 = 0

Reorder the terms:
156 + 17a + a2 = 0

Solving
156 + 17a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-156' to each side of the equation.
156 + 17a + -156 + a2 = 0 + -156

Reorder the terms:
156 + -156 + 17a + a2 = 0 + -156

Combine like terms: 156 + -156 = 0
0 + 17a + a2 = 0 + -156
17a + a2 = 0 + -156

Combine like terms: 0 + -156 = -156
17a + a2 = -156

The a term is 17a.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17a + 72.25 + a2 = -156 + 72.25

Reorder the terms:
72.25 + 17a + a2 = -156 + 72.25

Combine like terms: -156 + 72.25 = -83.75
72.25 + 17a + a2 = -83.75

Factor a perfect square on the left side:
(a + 8.5)(a + 8.5) = -83.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.