9x(x+2)+2=12x

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Solution for 9x(x+2)+2=12x equation: 


Simplifying
9x(x + 2) + 2 = 12x

Reorder the terms:
9x(2 + x) + 2 = 12x
(2 * 9x + x * 9x) + 2 = 12x
(18x + 9x2) + 2 = 12x

Reorder the terms:
2 + 18x + 9x2 = 12x

Solving
2 + 18x + 9x2 = 12x

Solving for variable 'x'.

Reorder the terms:
2 + 18x + -12x + 9x2 = 12x + -12x

Combine like terms: 18x + -12x = 6x
2 + 6x + 9x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
2 + 6x + 9x2 = 0

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
0.2222222222 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + 0.6666666667x + -0.2222222222 + x2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + 0.6666666667x + x2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + 0.6666666667x + x2 = 0 + -0.2222222222
0.6666666667x + x2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
0.6666666667x + x2 = -0.2222222222

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -0.2222222222 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -0.2222222222 + 0.1111111112

Combine like terms: -0.2222222222 + 0.1111111112 = -0.111111111
0.1111111112 + 0.6666666667x + x2 = -0.111111111

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -0.111111111

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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