a^2+4a+8=3

Solution for a^2+4a+8=3 equation:

Simplifying
a2 + 4a + 8 = 3

Reorder the terms:
8 + 4a + a2 = 3

Solving
8 + 4a + a2 = 3

Solving for variable 'a'.

Reorder the terms:
8 + -3 + 4a + a2 = 3 + -3

Combine like terms: 8 + -3 = 5
5 + 4a + a2 = 3 + -3

Combine like terms: 3 + -3 = 0
5 + 4a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 4a + -5 + a2 = 0 + -5

Reorder the terms:
5 + -5 + 4a + a2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4a + a2 = 0 + -5
4a + a2 = 0 + -5

Combine like terms: 0 + -5 = -5
4a + a2 = -5

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 = -5 + 4

Reorder the terms:
4 + 4a + a2 = -5 + 4

Combine like terms: -5 + 4 = -1
4 + 4a + a2 = -1

Factor a perfect square on the left side:
(a + 2)(a + 2) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.