6x^2=7x-3

Solution for 6x^2=7x-3 equation:

Simplifying
6x2 = 7x + -3

Reorder the terms:
6x2 = -3 + 7x

Solving
6x2 = -3 + 7x

Solving for variable 'x'.

Reorder the terms:
3 + -7x + 6x2 = -3 + 7x + 3 + -7x

Reorder the terms:
3 + -7x + 6x2 = -3 + 3 + 7x + -7x

Combine like terms: -3 + 3 = 0
3 + -7x + 6x2 = 0 + 7x + -7x
3 + -7x + 6x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -7x + 6x2 = 0

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

Divide each side by '6'.
0.5 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.166666667x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.166666667x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.166666667x + x2 = 0 + -0.5
-1.166666667x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.166666667x + x2 = -0.5

The x term is -1.166666667x.  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.
-1.166666667x + 0.3402777780 + x2 = -0.5 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -0.5 + 0.3402777780

Combine like terms: -0.5 + 0.3402777780 = -0.159722222
0.3402777780 + -1.166666667x + x2 = -0.159722222

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -0.159722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.