9x^2-16x+1089=0

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Solution for 9x^2-16x+1089=0 equation:


Simplifying
9x2 + -16x + 1089 = 0

Reorder the terms:
1089 + -16x + 9x2 = 0

Solving
1089 + -16x + 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'.
121 + -1.777777778x + x2 = 0

Move the constant term to the right:

Add '-121' to each side of the equation.
121 + -1.777777778x + -121 + x2 = 0 + -121

Reorder the terms:
121 + -121 + -1.777777778x + x2 = 0 + -121

Combine like terms: 121 + -121 = 0
0 + -1.777777778x + x2 = 0 + -121
-1.777777778x + x2 = 0 + -121

Combine like terms: 0 + -121 = -121
-1.777777778x + x2 = -121

The x term is -1.777777778x.  Take half its coefficient (-0.888888889).
Square it (0.7901234570) and add it to both sides.

Add '0.7901234570' to each side of the equation.
-1.777777778x + 0.7901234570 + x2 = -121 + 0.7901234570

Reorder the terms:
0.7901234570 + -1.777777778x + x2 = -121 + 0.7901234570

Combine like terms: -121 + 0.7901234570 = -120.209876543
0.7901234570 + -1.777777778x + x2 = -120.209876543

Factor a perfect square on the left side:
(x + -0.888888889)(x + -0.888888889) = -120.209876543

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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