9x^2=9x-32

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Solution for 9x^2=9x-32 equation:


Simplifying
9x2 = 9x + -32

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

Solving
9x2 = -32 + 9x

Solving for variable 'x'.

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

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

Combine like terms: -32 + 32 = 0
32 + -9x + 9x2 = 0 + 9x + -9x
32 + -9x + 9x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
32 + -9x + 9x2 = 0

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

Divide each side by '9'.
3.555555556 + -1x + x2 = 0

Move the constant term to the right:

Add '-3.555555556' to each side of the equation.
3.555555556 + -1x + -3.555555556 + x2 = 0 + -3.555555556

Reorder the terms:
3.555555556 + -3.555555556 + -1x + x2 = 0 + -3.555555556

Combine like terms: 3.555555556 + -3.555555556 = 0.000000000
0.000000000 + -1x + x2 = 0 + -3.555555556
-1x + x2 = 0 + -3.555555556

Combine like terms: 0 + -3.555555556 = -3.555555556
-1x + x2 = -3.555555556

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -3.555555556 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -3.555555556 + 0.25

Combine like terms: -3.555555556 + 0.25 = -3.305555556
0.25 + -1x + x2 = -3.305555556

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -3.305555556

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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