0.1x^2-0.9x+6.521=0

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Solution for 0.1x^2-0.9x+6.521=0 equation: 


Simplifying
0.1x2 + -0.9x + 6.521 = 0

Reorder the terms:
6.521 + -0.9x + 0.1x2 = 0

Solving
6.521 + -0.9x + 0.1x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.1'.
65.21 + -9x + x2 = 0

Move the constant term to the right:

Add '-65.21' to each side of the equation.
65.21 + -9x + -65.21 + x2 = 0 + -65.21

Reorder the terms:
65.21 + -65.21 + -9x + x2 = 0 + -65.21

Combine like terms: 65.21 + -65.21 = 0.00
0.00 + -9x + x2 = 0 + -65.21
-9x + x2 = 0 + -65.21

Combine like terms: 0 + -65.21 = -65.21
-9x + x2 = -65.21

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = -65.21 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -65.21 + 20.25

Combine like terms: -65.21 + 20.25 = -44.96
20.25 + -9x + x2 = -44.96

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = -44.96

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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