(x+6)(x+6)+1=9x

Solution for (x+6)(x+6)+1=9x equation:

Simplifying
(x + 6)(x + 6) + 1 = 9x

Reorder the terms:
(6 + x)(x + 6) + 1 = 9x

Reorder the terms:
(6 + x)(6 + x) + 1 = 9x

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) + 1 = 9x
((6 * 6 + x * 6) + x(6 + x)) + 1 = 9x
((36 + 6x) + x(6 + x)) + 1 = 9x
(36 + 6x + (6 * x + x * x)) + 1 = 9x
(36 + 6x + (6x + x2)) + 1 = 9x

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) + 1 = 9x

Reorder the terms:
36 + 1 + 12x + x2 = 9x

Combine like terms: 36 + 1 = 37
37 + 12x + x2 = 9x

Solving
37 + 12x + x2 = 9x

Solving for variable 'x'.

Reorder the terms:
37 + 12x + -9x + x2 = 9x + -9x

Combine like terms: 12x + -9x = 3x
37 + 3x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
37 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + 3x + -37 + x2 = 0 + -37

Reorder the terms:
37 + -37 + 3x + x2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 3x + x2 = 0 + -37
3x + x2 = 0 + -37

Combine like terms: 0 + -37 = -37
3x + x2 = -37

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -37 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -37 + 2.25

Combine like terms: -37 + 2.25 = -34.75
2.25 + 3x + x2 = -34.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -34.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.