0=12x^2-20x+9

Solution for 0=12x^2-20x+9 equation:

Simplifying
0 = 12x2 + -20x + 9

Reorder the terms:
0 = 9 + -20x + 12x2

Solving
0 = 9 + -20x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + -9 = -9
-9 + 20x + -12x2 = 9 + -20x + 12x2 + -9 + 20x + -12x2

Reorder the terms:
-9 + 20x + -12x2 = 9 + -9 + -20x + 20x + 12x2 + -12x2

Combine like terms: 9 + -9 = 0
-9 + 20x + -12x2 = 0 + -20x + 20x + 12x2 + -12x2
-9 + 20x + -12x2 = -20x + 20x + 12x2 + -12x2

Combine like terms: -20x + 20x = 0
-9 + 20x + -12x2 = 0 + 12x2 + -12x2
-9 + 20x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-9 + 20x + -12x2 = 0

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

Divide each side by '-12'.
0.75 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.666666667x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.666666667x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.666666667x + x2 = 0 + -0.75
-1.666666667x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.666666667x + x2 = -0.75

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -0.75 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -0.75 + 0.6944444447

Combine like terms: -0.75 + 0.6944444447 = -0.0555555553
0.6944444447 + -1.666666667x + x2 = -0.0555555553

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -0.0555555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.