a^2+5a+50=

Solution for a^2+5a+50= equation:

Simplifying
a2 + 5a + 50 = 0

Reorder the terms:
50 + 5a + a2 = 0

Solving
50 + 5a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + 5a + -50 + a2 = 0 + -50

Reorder the terms:
50 + -50 + 5a + a2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 5a + a2 = 0 + -50
5a + a2 = 0 + -50

Combine like terms: 0 + -50 = -50
5a + a2 = -50

The a term is 5a.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5a + 6.25 + a2 = -50 + 6.25

Reorder the terms:
6.25 + 5a + a2 = -50 + 6.25

Combine like terms: -50 + 6.25 = -43.75
6.25 + 5a + a2 = -43.75

Factor a perfect square on the left side:
(a + 2.5)(a + 2.5) = -43.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.