x^2+4x+42=0

Solution for x^2+4x+42=0 equation:

Simplifying
x2 + 4x + 42 = 0

Reorder the terms:
42 + 4x + x2 = 0

Solving
42 + 4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + 4x + -42 + x2 = 0 + -42

Reorder the terms:
42 + -42 + 4x + x2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 4x + x2 = 0 + -42
4x + x2 = 0 + -42

Combine like terms: 0 + -42 = -42
4x + x2 = -42

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

Add '4' to each side of the equation.
4x + 4 + x2 = -42 + 4

Reorder the terms:
4 + 4x + x2 = -42 + 4

Combine like terms: -42 + 4 = -38
4 + 4x + x2 = -38

Factor a perfect square on the left side:
(x + 2)(x + 2) = -38

Can't calculate square root of the right side.

The solution to this equation could not be determined.