6a^2-7a=-7

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Solution for 6a^2-7a=-7 equation: 


Simplifying
6a2 + -7a = -7

Reorder the terms:
-7a + 6a2 = -7

Solving
-7a + 6a2 = -7

Solving for variable 'a'.

Reorder the terms:
7 + -7a + 6a2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -7a + 6a2 = 0

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

Divide each side by '6'.
1.166666667 + -1.166666667a + a2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + -1.166666667a + -1.166666667 + a2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + -1.166666667a + a2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + -1.166666667a + a2 = 0 + -1.166666667
-1.166666667a + a2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
-1.166666667a + a2 = -1.166666667

The a term is -1.166666667a.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667a + 0.3402777780 + a2 = -1.166666667 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667a + a2 = -1.166666667 + 0.3402777780

Combine like terms: -1.166666667 + 0.3402777780 = -0.826388889
0.3402777780 + -1.166666667a + a2 = -0.826388889

Factor a perfect square on the left side:
(a + -0.5833333335)(a + -0.5833333335) = -0.826388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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