7x^2-10x+10=0

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Solution for 7x^2-10x+10=0 equation:


Simplifying
7x2 + -10x + 10 = 0

Reorder the terms:
10 + -10x + 7x2 = 0

Solving
10 + -10x + 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'.
1.428571429 + -1.428571429x + x2 = 0

Move the constant term to the right:

Add '-1.428571429' to each side of the equation.
1.428571429 + -1.428571429x + -1.428571429 + x2 = 0 + -1.428571429

Reorder the terms:
1.428571429 + -1.428571429 + -1.428571429x + x2 = 0 + -1.428571429

Combine like terms: 1.428571429 + -1.428571429 = 0.000000000
0.000000000 + -1.428571429x + x2 = 0 + -1.428571429
-1.428571429x + x2 = 0 + -1.428571429

Combine like terms: 0 + -1.428571429 = -1.428571429
-1.428571429x + x2 = -1.428571429

The x term is -1.428571429x.  Take half its coefficient (-0.7142857145).
Square it (0.5102040819) and add it to both sides.

Add '0.5102040819' to each side of the equation.
-1.428571429x + 0.5102040819 + x2 = -1.428571429 + 0.5102040819

Reorder the terms:
0.5102040819 + -1.428571429x + x2 = -1.428571429 + 0.5102040819

Combine like terms: -1.428571429 + 0.5102040819 = -0.9183673471
0.5102040819 + -1.428571429x + x2 = -0.9183673471

Factor a perfect square on the left side:
(x + -0.7142857145)(x + -0.7142857145) = -0.9183673471

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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