7x(-3x+1)=6

Solution for 7x(-3x+1)=6 equation:

Simplifying
7x(-3x + 1) = 6

Reorder the terms:
7x(1 + -3x) = 6
(1 * 7x + -3x * 7x) = 6
(7x + -21x2) = 6

Solving
7x + -21x2 = 6

Solving for variable 'x'.

Reorder the terms:
-6 + 7x + -21x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 7x + -21x2 = 0

Begin completing the square.  Divide all terms by
-21 the coefficient of the squared term: 

Divide each side by '-21'.
0.2857142857 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.3333333333x + -0.2857142857 + x2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.3333333333x + x2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.2857142857
-0.3333333333x + x2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.3333333333x + x2 = -0.2857142857

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.2857142857 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.2857142857 + 0.02777777779

Combine like terms: -0.2857142857 + 0.02777777779 = -0.25793650791
0.02777777779 + -0.3333333333x + x2 = -0.25793650791

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.25793650791

Can't calculate square root of the right side.

The solution to this equation could not be determined.