2(6x^2+3)=7x

Solution for 2(6x^2+3)=7x equation:

Simplifying
2(6x2 + 3) = 7x

Reorder the terms:
2(3 + 6x2) = 7x
(3 * 2 + 6x2 * 2) = 7x
(6 + 12x2) = 7x

Solving
6 + 12x2 = 7x

Solving for variable 'x'.

Reorder the terms:
6 + -7x + 12x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -7x + 12x2 = 0

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

Divide each side by '12'.
0.5 + -0.5833333333x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.5833333333x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.5833333333x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5833333333x + x2 = 0 + -0.5
-0.5833333333x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.5833333333x + x2 = -0.5

The x term is -0.5833333333x.  Take half its coefficient (-0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
-0.5833333333x + 0.08506944446 + x2 = -0.5 + 0.08506944446

Reorder the terms:
0.08506944446 + -0.5833333333x + x2 = -0.5 + 0.08506944446

Combine like terms: -0.5 + 0.08506944446 = -0.41493055554
0.08506944446 + -0.5833333333x + x2 = -0.41493055554

Factor a perfect square on the left side:
(x + -0.2916666667)(x + -0.2916666667) = -0.41493055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.