12x^2+9=8x+6

Solution for 12x^2+9=8x+6 equation:

Simplifying
12x2 + 9 = 8x + 6

Reorder the terms:
9 + 12x2 = 8x + 6

Reorder the terms:
9 + 12x2 = 6 + 8x

Solving
9 + 12x2 = 6 + 8x

Solving for variable 'x'.

Reorder the terms:
9 + -6 + -8x + 12x2 = 6 + 8x + -6 + -8x

Combine like terms: 9 + -6 = 3
3 + -8x + 12x2 = 6 + 8x + -6 + -8x

Reorder the terms:
3 + -8x + 12x2 = 6 + -6 + 8x + -8x

Combine like terms: 6 + -6 = 0
3 + -8x + 12x2 = 0 + 8x + -8x
3 + -8x + 12x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -8x + 12x2 = 0

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

Divide each side by '12'.
0.25 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.6666666667x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.6666666667x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.6666666667x + x2 = 0 + -0.25
-0.6666666667x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.6666666667x + x2 = -0.25

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 = -0.25 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.25 + 0.1111111112

Combine like terms: -0.25 + 0.1111111112 = -0.1388888888
0.1111111112 + -0.6666666667x + x2 = -0.1388888888

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.1388888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.