P(0)=x^2+x+4

Solution for P(0)=x^2+x+4 equation:

Simplifying
P(0) = x2 + x + 4

Reorder the terms for easier multiplication:
0P = x2 + x + 4

Anything times zero is zero.
0P = x2 + x + 4

Reorder the terms:
0 = 4 + x + x2

Solving
0 = 4 + x + x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + -1x + -1x2 = 4 + x + x2 + -4 + -1x + -1x2

Reorder the terms:
-4 + -1x + -1x2 = 4 + -4 + x + -1x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-4 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2
-4 + -1x + -1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
-4 + -1x + -1x2 = 0 + x2 + -1x2
-4 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + -1x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + x + x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(4 + x + x2)' equal to zero and attempt to solve:

Simplifying
4 + x + x2 = 0

Solving
4 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -4 + 0.25

Reorder the terms:
0.25 + x + x2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + x + x2 = -3.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.