3x(2x-1)=-2(x+3)

Solution for 3x(2x-1)=-2(x+3) equation:

Simplifying
3x(2x + -1) = -2(x + 3)

Reorder the terms:
3x(-1 + 2x) = -2(x + 3)
(-1 * 3x + 2x * 3x) = -2(x + 3)
(-3x + 6x2) = -2(x + 3)

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

Solving
-3x + 6x2 = -6 + -2x

Solving for variable 'x'.

Reorder the terms:
6 + -3x + 2x + 6x2 = -6 + -2x + 6 + 2x

Combine like terms: -3x + 2x = -1x
6 + -1x + 6x2 = -6 + -2x + 6 + 2x

Reorder the terms:
6 + -1x + 6x2 = -6 + 6 + -2x + 2x

Combine like terms: -6 + 6 = 0
6 + -1x + 6x2 = 0 + -2x + 2x
6 + -1x + 6x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -1x + 6x2 = 0

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

Divide each side by '6'.
1 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.1666666667x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.1666666667x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.1666666667x + x2 = 0 + -1
-0.1666666667x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.1666666667x + x2 = -1

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -1 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -1 + 0.006944444447

Combine like terms: -1 + 0.006944444447 = -0.993055555553
0.006944444447 + -0.1666666667x + x2 = -0.993055555553

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -0.993055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.