35x^2-x+28=0

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Solution for 35x^2-x+28=0 equation:


Simplifying
35x2 + -1x + 28 = 0

Reorder the terms:
28 + -1x + 35x2 = 0

Solving
28 + -1x + 35x2 = 0

Solving for variable 'x'.

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

Divide each side by '35'.
0.8 + -0.02857142857x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -0.02857142857x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -0.02857142857x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.02857142857x + x2 = 0 + -0.8
-0.02857142857x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-0.02857142857x + x2 = -0.8

The x term is -0.02857142857x.  Take half its coefficient (-0.01428571429).
Square it (0.0002040816328) and add it to both sides.

Add '0.0002040816328' to each side of the equation.
-0.02857142857x + 0.0002040816328 + x2 = -0.8 + 0.0002040816328

Reorder the terms:
0.0002040816328 + -0.02857142857x + x2 = -0.8 + 0.0002040816328

Combine like terms: -0.8 + 0.0002040816328 = -0.7997959183672
0.0002040816328 + -0.02857142857x + x2 = -0.7997959183672

Factor a perfect square on the left side:
(x + -0.01428571429)(x + -0.01428571429) = -0.7997959183672

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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