2x^2-10.2x+16=0

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Solution for 2x^2-10.2x+16=0 equation:


Simplifying
2x2 + -10.2x + 16 = 0

Reorder the terms:
16 + -10.2x + 2x2 = 0

Solving
16 + -10.2x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
8 + -5.1x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5.1x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -5.1x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5.1x + x2 = 0 + -8
-5.1x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-5.1x + x2 = -8

The x term is -5.1x.  Take half its coefficient (-2.55).
Square it (6.5025) and add it to both sides.

Add '6.5025' to each side of the equation.
-5.1x + 6.5025 + x2 = -8 + 6.5025

Reorder the terms:
6.5025 + -5.1x + x2 = -8 + 6.5025

Combine like terms: -8 + 6.5025 = -1.4975
6.5025 + -5.1x + x2 = -1.4975

Factor a perfect square on the left side:
(x + -2.55)(x + -2.55) = -1.4975

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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