x=x^2+11x+30

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Solution for x=x^2+11x+30 equation: 


Simplifying
x = x2 + 11x + 30

Reorder the terms:
x = 30 + 11x + x2

Solving
x = 30 + 11x + x2

Solving for variable 'x'.

Reorder the terms:
-30 + x + -11x + -1x2 = 30 + 11x + x2 + -30 + -11x + -1x2

Combine like terms: x + -11x = -10x
-30 + -10x + -1x2 = 30 + 11x + x2 + -30 + -11x + -1x2

Reorder the terms:
-30 + -10x + -1x2 = 30 + -30 + 11x + -11x + x2 + -1x2

Combine like terms: 30 + -30 = 0
-30 + -10x + -1x2 = 0 + 11x + -11x + x2 + -1x2
-30 + -10x + -1x2 = 11x + -11x + x2 + -1x2

Combine like terms: 11x + -11x = 0
-30 + -10x + -1x2 = 0 + x2 + -1x2
-30 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-30 + -10x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(30 + 10x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(30 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
30 + 10x + x2 = 0

Solving
30 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + 10x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + 10x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 10x + x2 = 0 + -30
10x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
10x + x2 = -30

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -30 + 25

Reorder the terms:
25 + 10x + x2 = -30 + 25

Combine like terms: -30 + 25 = -5
25 + 10x + x2 = -5

Factor a perfect square on the left side:
(x + 5)(x + 5) = -5

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.

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