3(x-2)=8x(2x-2)

Solution for 3(x-2)=8x(2x-2) equation:

Simplifying
3(x + -2) = 8x(2x + -2)

Reorder the terms:
3(-2 + x) = 8x(2x + -2)
(-2 * 3 + x * 3) = 8x(2x + -2)
(-6 + 3x) = 8x(2x + -2)

Reorder the terms:
-6 + 3x = 8x(-2 + 2x)
-6 + 3x = (-2 * 8x + 2x * 8x)
-6 + 3x = (-16x + 16x2)

Solving
-6 + 3x = -16x + 16x2

Solving for variable 'x'.

Combine like terms: 3x + 16x = 19x
-6 + 19x + -16x2 = -16x + 16x2 + 16x + -16x2

Reorder the terms:
-6 + 19x + -16x2 = -16x + 16x + 16x2 + -16x2

Combine like terms: -16x + 16x = 0
-6 + 19x + -16x2 = 0 + 16x2 + -16x2
-6 + 19x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-6 + 19x + -16x2 = 0

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
0.375 + -1.1875x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -1.1875x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -1.1875x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -1.1875x + x2 = 0 + -0.375
-1.1875x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-1.1875x + x2 = -0.375

The x term is -1.1875x.  Take half its coefficient (-0.59375).
Square it (0.3525390625) and add it to both sides.

Add '0.3525390625' to each side of the equation.
-1.1875x + 0.3525390625 + x2 = -0.375 + 0.3525390625

Reorder the terms:
0.3525390625 + -1.1875x + x2 = -0.375 + 0.3525390625

Combine like terms: -0.375 + 0.3525390625 = -0.0224609375
0.3525390625 + -1.1875x + x2 = -0.0224609375

Factor a perfect square on the left side:
(x + -0.59375)(x + -0.59375) = -0.0224609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.