3(x-4)=2x(x-2)

Solution for 3(x-4)=2x(x-2) equation:

Simplifying
3(x + -4) = 2x(x + -2)

Reorder the terms:
3(-4 + x) = 2x(x + -2)
(-4 * 3 + x * 3) = 2x(x + -2)
(-12 + 3x) = 2x(x + -2)

Reorder the terms:
-12 + 3x = 2x(-2 + x)
-12 + 3x = (-2 * 2x + x * 2x)
-12 + 3x = (-4x + 2x2)

Solving
-12 + 3x = -4x + 2x2

Solving for variable 'x'.

Combine like terms: 3x + 4x = 7x
-12 + 7x + -2x2 = -4x + 2x2 + 4x + -2x2

Reorder the terms:
-12 + 7x + -2x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
-12 + 7x + -2x2 = 0 + 2x2 + -2x2
-12 + 7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12 + 7x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
6 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -3.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.5x + x2 = 0 + -6
-3.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.5x + x2 = -6

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -6 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -6 + 3.0625

Combine like terms: -6 + 3.0625 = -2.9375
3.0625 + -3.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.