3(x-1)2x=3x+x+(-9)

Solution for 3(x-1)2x=3x+x+(-9) equation:

Simplifying
3(x + -1) * 2x = 3x + x + (-9)

Reorder the terms:
3(-1 + x) * 2x = 3x + x + (-9)

Reorder the terms for easier multiplication:
3 * 2x(-1 + x) = 3x + x + (-9)

Multiply 3 * 2
6x(-1 + x) = 3x + x + (-9)
(-1 * 6x + x * 6x) = 3x + x + (-9)
(-6x + 6x2) = 3x + x + (-9)
-6x + 6x2 = 3x + x + -9

Reorder the terms:
-6x + 6x2 = -9 + 3x + x

Combine like terms: 3x + x = 4x
-6x + 6x2 = -9 + 4x

Solving
-6x + 6x2 = -9 + 4x

Solving for variable 'x'.

Reorder the terms:
9 + -6x + -4x + 6x2 = -9 + 4x + 9 + -4x

Combine like terms: -6x + -4x = -10x
9 + -10x + 6x2 = -9 + 4x + 9 + -4x

Reorder the terms:
9 + -10x + 6x2 = -9 + 9 + 4x + -4x

Combine like terms: -9 + 9 = 0
9 + -10x + 6x2 = 0 + 4x + -4x
9 + -10x + 6x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -10x + 6x2 = 0

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

Divide each side by '6'.
1.5 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1.666666667x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1.666666667x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.666666667x + x2 = 0 + -1.5
-1.666666667x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1.666666667x + x2 = -1.5

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -1.5 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -1.5 + 0.6944444447

Combine like terms: -1.5 + 0.6944444447 = -0.8055555553
0.6944444447 + -1.666666667x + x2 = -0.8055555553

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -0.8055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.