3(7x-2)3x+1=4(2)(x-2)

Solution for 3(7x-2)3x+1=4(2)(x-2) equation:

Simplifying
3(7x + -2) * 3x + 1 = 4(2)(x + -2)

Reorder the terms:
3(-2 + 7x) * 3x + 1 = 4(2)(x + -2)

Reorder the terms for easier multiplication:
3 * 3x(-2 + 7x) + 1 = 4(2)(x + -2)

Multiply 3 * 3
9x(-2 + 7x) + 1 = 4(2)(x + -2)
(-2 * 9x + 7x * 9x) + 1 = 4(2)(x + -2)
(-18x + 63x2) + 1 = 4(2)(x + -2)

Reorder the terms:
1 + -18x + 63x2 = 4(2)(x + -2)

Reorder the terms:
1 + -18x + 63x2 = 4 * 2(-2 + x)

Multiply 4 * 2
1 + -18x + 63x2 = 8(-2 + x)
1 + -18x + 63x2 = (-2 * 8 + x * 8)
1 + -18x + 63x2 = (-16 + 8x)

Solving
1 + -18x + 63x2 = -16 + 8x

Solving for variable 'x'.

Reorder the terms:
1 + 16 + -18x + -8x + 63x2 = -16 + 8x + 16 + -8x

Combine like terms: 1 + 16 = 17
17 + -18x + -8x + 63x2 = -16 + 8x + 16 + -8x

Combine like terms: -18x + -8x = -26x
17 + -26x + 63x2 = -16 + 8x + 16 + -8x

Reorder the terms:
17 + -26x + 63x2 = -16 + 16 + 8x + -8x

Combine like terms: -16 + 16 = 0
17 + -26x + 63x2 = 0 + 8x + -8x
17 + -26x + 63x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
17 + -26x + 63x2 = 0

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

Divide each side by '63'.
0.2698412698 + -0.4126984127x + x2 = 0

Move the constant term to the right:

Add '-0.2698412698' to each side of the equation.
0.2698412698 + -0.4126984127x + -0.2698412698 + x2 = 0 + -0.2698412698

Reorder the terms:
0.2698412698 + -0.2698412698 + -0.4126984127x + x2 = 0 + -0.2698412698

Combine like terms: 0.2698412698 + -0.2698412698 = 0.0000000000
0.0000000000 + -0.4126984127x + x2 = 0 + -0.2698412698
-0.4126984127x + x2 = 0 + -0.2698412698

Combine like terms: 0 + -0.2698412698 = -0.2698412698
-0.4126984127x + x2 = -0.2698412698

The x term is -0.4126984127x.  Take half its coefficient (-0.2063492064).
Square it (0.04257999498) and add it to both sides.

Add '0.04257999498' to each side of the equation.
-0.4126984127x + 0.04257999498 + x2 = -0.2698412698 + 0.04257999498

Reorder the terms:
0.04257999498 + -0.4126984127x + x2 = -0.2698412698 + 0.04257999498

Combine like terms: -0.2698412698 + 0.04257999498 = -0.22726127482
0.04257999498 + -0.4126984127x + x2 = -0.22726127482

Factor a perfect square on the left side:
(x + -0.2063492064)(x + -0.2063492064) = -0.22726127482

Can't calculate square root of the right side.

The solution to this equation could not be determined.