x^2+12x+36=2x

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


Simplifying
x2 + 12x + 36 = 2x

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

Solving
36 + 12x + x2 = 2x

Solving for variable 'x'.

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

Combine like terms: 12x + -2x = 10x
36 + 10x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 10x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + 10x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 10x + x2 = 0 + -36
10x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
10x + x2 = -36

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 = -36 + 25

Reorder the terms:
25 + 10x + x2 = -36 + 25

Combine like terms: -36 + 25 = -11
25 + 10x + x2 = -11

Factor a perfect square on the left side:
(x + 5)(x + 5) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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