2[3x(4x-6)]=5(x-6)

Solution for 2[3x(4x-6)]=5(x-6) equation:

Simplifying
2[3x(4x + -6)] = 5(x + -6)

Reorder the terms:
2[3x(-6 + 4x)] = 5(x + -6)
2[(-6 * 3x + 4x * 3x)] = 5(x + -6)
2[(-18x + 12x2)] = 5(x + -6)
[-18x * 2 + 12x2 * 2] = 5(x + -6)
[-36x + 24x2] = 5(x + -6)

Reorder the terms:
-36x + 24x2 = 5(-6 + x)
-36x + 24x2 = (-6 * 5 + x * 5)
-36x + 24x2 = (-30 + 5x)

Solving
-36x + 24x2 = -30 + 5x

Solving for variable 'x'.

Reorder the terms:
30 + -36x + -5x + 24x2 = -30 + 5x + 30 + -5x

Combine like terms: -36x + -5x = -41x
30 + -41x + 24x2 = -30 + 5x + 30 + -5x

Reorder the terms:
30 + -41x + 24x2 = -30 + 30 + 5x + -5x

Combine like terms: -30 + 30 = 0
30 + -41x + 24x2 = 0 + 5x + -5x
30 + -41x + 24x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -41x + 24x2 = 0

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

Divide each side by '24'.
1.25 + -1.708333333x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1.708333333x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1.708333333x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1.708333333x + x2 = 0 + -1.25
-1.708333333x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1.708333333x + x2 = -1.25

The x term is -1.708333333x.  Take half its coefficient (-0.8541666665).
Square it (0.7296006942) and add it to both sides.

Add '0.7296006942' to each side of the equation.
-1.708333333x + 0.7296006942 + x2 = -1.25 + 0.7296006942

Reorder the terms:
0.7296006942 + -1.708333333x + x2 = -1.25 + 0.7296006942

Combine like terms: -1.25 + 0.7296006942 = -0.5203993058
0.7296006942 + -1.708333333x + x2 = -0.5203993058

Factor a perfect square on the left side:
(x + -0.8541666665)(x + -0.8541666665) = -0.5203993058

Can't calculate square root of the right side.

The solution to this equation could not be determined.