6a^2-a+35=0

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Solution for 6a^2-a+35=0 equation: 


Simplifying
6a2 + -1a + 35 = 0

Reorder the terms:
35 + -1a + 6a2 = 0

Solving
35 + -1a + 6a2 = 0

Solving for variable 'a'.

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

Divide each side by '6'.
5.833333333 + -0.1666666667a + a2 = 0

Move the constant term to the right:

Add '-5.833333333' to each side of the equation.
5.833333333 + -0.1666666667a + -5.833333333 + a2 = 0 + -5.833333333

Reorder the terms:
5.833333333 + -5.833333333 + -0.1666666667a + a2 = 0 + -5.833333333

Combine like terms: 5.833333333 + -5.833333333 = 0.000000000
0.000000000 + -0.1666666667a + a2 = 0 + -5.833333333
-0.1666666667a + a2 = 0 + -5.833333333

Combine like terms: 0 + -5.833333333 = -5.833333333
-0.1666666667a + a2 = -5.833333333

The a term is -0.1666666667a.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667a + 0.006944444447 + a2 = -5.833333333 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667a + a2 = -5.833333333 + 0.006944444447

Combine like terms: -5.833333333 + 0.006944444447 = -5.826388888553
0.006944444447 + -0.1666666667a + a2 = -5.826388888553

Factor a perfect square on the left side:
(a + -0.08333333335)(a + -0.08333333335) = -5.826388888553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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