0=x^2+11x+35

Solution for 0=x^2+11x+35 equation:

Simplifying
0 = x2 + 11x + 35

Reorder the terms:
0 = 35 + 11x + x2

Solving
0 = 35 + 11x + x2

Solving for variable 'x'.

Combine like terms: 0 + -35 = -35
-35 + -11x + -1x2 = 35 + 11x + x2 + -35 + -11x + -1x2

Reorder the terms:
-35 + -11x + -1x2 = 35 + -35 + 11x + -11x + x2 + -1x2

Combine like terms: 35 + -35 = 0
-35 + -11x + -1x2 = 0 + 11x + -11x + x2 + -1x2
-35 + -11x + -1x2 = 11x + -11x + x2 + -1x2

Combine like terms: 11x + -11x = 0
-35 + -11x + -1x2 = 0 + x2 + -1x2
-35 + -11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-35 + -11x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(35 + 11x + x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(35 + 11x + x2)' equal to zero and attempt to solve:

Simplifying
35 + 11x + x2 = 0

Solving
35 + 11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + 11x + -35 + x2 = 0 + -35

Reorder the terms:
35 + -35 + 11x + x2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 11x + x2 = 0 + -35
11x + x2 = 0 + -35

Combine like terms: 0 + -35 = -35
11x + x2 = -35

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = -35 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -35 + 30.25

Combine like terms: -35 + 30.25 = -4.75
30.25 + 11x + x2 = -4.75

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = -4.75

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.