9x^2-24x=-20

Solution for 9x^2-24x=-20 equation:

Simplifying
9x2 + -24x = -20

Reorder the terms:
-24x + 9x2 = -20

Solving
-24x + 9x2 = -20

Solving for variable 'x'.

Reorder the terms:
20 + -24x + 9x2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + -24x + 9x2 = 0

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

Divide each side by '9'.
2.222222222 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.222222222' to each side of the equation.
2.222222222 + -2.666666667x + -2.222222222 + x2 = 0 + -2.222222222

Reorder the terms:
2.222222222 + -2.222222222 + -2.666666667x + x2 = 0 + -2.222222222

Combine like terms: 2.222222222 + -2.222222222 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + -2.222222222
-2.666666667x + x2 = 0 + -2.222222222

Combine like terms: 0 + -2.222222222 = -2.222222222
-2.666666667x + x2 = -2.222222222

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -2.222222222 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -2.222222222 + 1.777777780

Combine like terms: -2.222222222 + 1.777777780 = -0.444444442
1.777777780 + -2.666666667x + x2 = -0.444444442

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -0.444444442

Can't calculate square root of the right side.

The solution to this equation could not be determined.