x^2+8x+3=-45

Solution for x^2+8x+3=-45 equation:

Simplifying
x2 + 8x + 3 = -45

Reorder the terms:
3 + 8x + x2 = -45

Solving
3 + 8x + x2 = -45

Solving for variable 'x'.

Reorder the terms:
3 + 45 + 8x + x2 = -45 + 45

Combine like terms: 3 + 45 = 48
48 + 8x + x2 = -45 + 45

Combine like terms: -45 + 45 = 0
48 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 8x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + 8x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 8x + x2 = 0 + -48
8x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
8x + x2 = -48

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -48 + 16

Reorder the terms:
16 + 8x + x2 = -48 + 16

Combine like terms: -48 + 16 = -32
16 + 8x + x2 = -32

Factor a perfect square on the left side:
(x + 4)(x + 4) = -32

Can't calculate square root of the right side.

The solution to this equation could not be determined.