9x^2-11x=-9

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Solution for 9x^2-11x=-9 equation:


Simplifying
9x2 + -11x = -9

Reorder the terms:
-11x + 9x2 = -9

Solving
-11x + 9x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + -11x + 9x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -11x + 9x2 = 0

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

Divide each side by '9'.
1 + -1.222222222x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.222222222x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.222222222x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.222222222x + x2 = 0 + -1
-1.222222222x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.222222222x + x2 = -1

The x term is -1.222222222x.  Take half its coefficient (-0.611111111).
Square it (0.3734567900) and add it to both sides.

Add '0.3734567900' to each side of the equation.
-1.222222222x + 0.3734567900 + x2 = -1 + 0.3734567900

Reorder the terms:
0.3734567900 + -1.222222222x + x2 = -1 + 0.3734567900

Combine like terms: -1 + 0.3734567900 = -0.62654321
0.3734567900 + -1.222222222x + x2 = -0.62654321

Factor a perfect square on the left side:
(x + -0.611111111)(x + -0.611111111) = -0.62654321

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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