9x^2-24x+32=0

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Solution for 9x^2-24x+32=0 equation: 


Simplifying
9x2 + -24x + 32 = 0

Reorder the terms:
32 + -24x + 9x2 = 0

Solving
32 + -24x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
3.555555556 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-3.555555556' to each side of the equation.
3.555555556 + -2.666666667x + -3.555555556 + x2 = 0 + -3.555555556

Reorder the terms:
3.555555556 + -3.555555556 + -2.666666667x + x2 = 0 + -3.555555556

Combine like terms: 3.555555556 + -3.555555556 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + -3.555555556
-2.666666667x + x2 = 0 + -3.555555556

Combine like terms: 0 + -3.555555556 = -3.555555556
-2.666666667x + x2 = -3.555555556

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 = -3.555555556 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -3.555555556 + 1.777777780

Combine like terms: -3.555555556 + 1.777777780 = -1.777777776
1.777777780 + -2.666666667x + x2 = -1.777777776

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -1.777777776

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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