a^2+4a+77=0

Solution for a^2+4a+77=0 equation:

Simplifying
a2 + 4a + 77 = 0

Reorder the terms:
77 + 4a + a2 = 0

Solving
77 + 4a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-77' to each side of the equation.
77 + 4a + -77 + a2 = 0 + -77

Reorder the terms:
77 + -77 + 4a + a2 = 0 + -77

Combine like terms: 77 + -77 = 0
0 + 4a + a2 = 0 + -77
4a + a2 = 0 + -77

Combine like terms: 0 + -77 = -77
4a + a2 = -77

The a term is 4a.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4a + 4 + a2 = -77 + 4

Reorder the terms:
4 + 4a + a2 = -77 + 4

Combine like terms: -77 + 4 = -73
4 + 4a + a2 = -73

Factor a perfect square on the left side:
(a + 2)(a + 2) = -73

Can't calculate square root of the right side.

The solution to this equation could not be determined.