x=(x+6)(x+6)

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Solution for x=(x+6)(x+6) equation: 


Simplifying
x = (x + 6)(x + 6)

Reorder the terms:
x = (6 + x)(x + 6)

Reorder the terms:
x = (6 + x)(6 + x)

Multiply (6 + x) * (6 + x)
x = (6(6 + x) + x(6 + x))
x = ((6 * 6 + x * 6) + x(6 + x))
x = ((36 + 6x) + x(6 + x))
x = (36 + 6x + (6 * x + x * x))
x = (36 + 6x + (6x + x2))

Combine like terms: 6x + 6x = 12x
x = (36 + 12x + x2)

Solving
x = 36 + 12x + x2

Solving for variable 'x'.

Reorder the terms:
-36 + x + -12x + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2

Combine like terms: x + -12x = -11x
-36 + -11x + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2

Reorder the terms:
-36 + -11x + -1x2 = 36 + -36 + 12x + -12x + x2 + -1x2

Combine like terms: 36 + -36 = 0
-36 + -11x + -1x2 = 0 + 12x + -12x + x2 + -1x2
-36 + -11x + -1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
-36 + -11x + -1x2 = 0 + x2 + -1x2
-36 + -11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 + -11x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(36 + 11x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(36 + 11x + x2)' equal to zero and attempt to solve:

Simplifying
36 + 11x + x2 = 0

Solving
36 + 11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 11x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + 11x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 11x + x2 = 0 + -36
11x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
11x + x2 = -36

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 = -36 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -36 + 30.25

Combine like terms: -36 + 30.25 = -5.75
30.25 + 11x + x2 = -5.75

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = -5.75

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.

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