x^2+x^2+12x+36=x^2+6x+9

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Solution for x^2+x^2+12x+36=x^2+6x+9 equation: 


Simplifying
x2 + x2 + 12x + 36 = x2 + 6x + 9

Reorder the terms:
36 + 12x + x2 + x2 = x2 + 6x + 9

Combine like terms: x2 + x2 = 2x2
36 + 12x + 2x2 = x2 + 6x + 9

Reorder the terms:
36 + 12x + 2x2 = 9 + 6x + x2

Solving
36 + 12x + 2x2 = 9 + 6x + x2

Solving for variable 'x'.

Reorder the terms:
36 + -9 + 12x + -6x + 2x2 + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 36 + -9 = 27
27 + 12x + -6x + 2x2 + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 12x + -6x = 6x
27 + 6x + 2x2 + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
27 + 6x + 1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Reorder the terms:
27 + 6x + 1x2 = 9 + -9 + 6x + -6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
27 + 6x + 1x2 = 0 + 6x + -6x + x2 + -1x2
27 + 6x + 1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
27 + 6x + 1x2 = 0 + x2 + -1x2
27 + 6x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
27 + 6x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-27' to each side of the equation.
27 + 6x + -27 + x2 = 0 + -27

Reorder the terms:
27 + -27 + 6x + x2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 6x + x2 = 0 + -27
6x + x2 = 0 + -27

Combine like terms: 0 + -27 = -27
6x + x2 = -27

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -27 + 9

Reorder the terms:
9 + 6x + x2 = -27 + 9

Combine like terms: -27 + 9 = -18
9 + 6x + x2 = -18

Factor a perfect square on the left side:
(x + 3)(x + 3) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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