6a^2+3a-9a+2a+7+6=

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Solution for 6a^2+3a-9a+2a+7+6= equation: 


Simplifying
6a2 + 3a + -9a + 2a + 7 + 6 = 0

Reorder the terms:
7 + 6 + 3a + -9a + 2a + 6a2 = 0

Combine like terms: 7 + 6 = 13
13 + 3a + -9a + 2a + 6a2 = 0

Combine like terms: 3a + -9a = -6a
13 + -6a + 2a + 6a2 = 0

Combine like terms: -6a + 2a = -4a
13 + -4a + 6a2 = 0

Solving
13 + -4a + 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'.
2.166666667 + -0.6666666667a + a2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + -0.6666666667a + -2.166666667 + a2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + -0.6666666667a + a2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + -0.6666666667a + a2 = 0 + -2.166666667
-0.6666666667a + a2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
-0.6666666667a + a2 = -2.166666667

The a term is -0.6666666667a.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667a + 0.1111111112 + a2 = -2.166666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667a + a2 = -2.166666667 + 0.1111111112

Combine like terms: -2.166666667 + 0.1111111112 = -2.0555555558
0.1111111112 + -0.6666666667a + a2 = -2.0555555558

Factor a perfect square on the left side:
(a + -0.3333333334)(a + -0.3333333334) = -2.0555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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