7x^2-8.1x+5.4=0

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Solution for 7x^2-8.1x+5.4=0 equation:


Simplifying
7x2 + -8.1x + 5.4 = 0

Reorder the terms:
5.4 + -8.1x + 7x2 = 0

Solving
5.4 + -8.1x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
0.7714285714 + -1.157142857x + x2 = 0

Move the constant term to the right:

Add '-0.7714285714' to each side of the equation.
0.7714285714 + -1.157142857x + -0.7714285714 + x2 = 0 + -0.7714285714

Reorder the terms:
0.7714285714 + -0.7714285714 + -1.157142857x + x2 = 0 + -0.7714285714

Combine like terms: 0.7714285714 + -0.7714285714 = 0.0000000000
0.0000000000 + -1.157142857x + x2 = 0 + -0.7714285714
-1.157142857x + x2 = 0 + -0.7714285714

Combine like terms: 0 + -0.7714285714 = -0.7714285714
-1.157142857x + x2 = -0.7714285714

The x term is -1.157142857x.  Take half its coefficient (-0.5785714285).
Square it (0.3347448979) and add it to both sides.

Add '0.3347448979' to each side of the equation.
-1.157142857x + 0.3347448979 + x2 = -0.7714285714 + 0.3347448979

Reorder the terms:
0.3347448979 + -1.157142857x + x2 = -0.7714285714 + 0.3347448979

Combine like terms: -0.7714285714 + 0.3347448979 = -0.4366836735
0.3347448979 + -1.157142857x + x2 = -0.4366836735

Factor a perfect square on the left side:
(x + -0.5785714285)(x + -0.5785714285) = -0.4366836735

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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