7x^2-x+84=0

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Solution for 7x^2-x+84=0 equation:


Simplifying
7x2 + -1x + 84 = 0

Reorder the terms:
84 + -1x + 7x2 = 0

Solving
84 + -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'.
12 + -0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -0.1428571429x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -0.1428571429x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -0.1428571429x + x2 = 0 + -12
-0.1428571429x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-0.1428571429x + x2 = -12

The x term is -0.1428571429x.  Take half its coefficient (-0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
-0.1428571429x + 0.005102040819 + x2 = -12 + 0.005102040819

Reorder the terms:
0.005102040819 + -0.1428571429x + x2 = -12 + 0.005102040819

Combine like terms: -12 + 0.005102040819 = -11.994897959181
0.005102040819 + -0.1428571429x + x2 = -11.994897959181

Factor a perfect square on the left side:
(x + -0.07142857145)(x + -0.07142857145) = -11.994897959181

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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