-(3-4x)+2(5-6x)-6=3(2x-5)(x-3)

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


Simplifying
-1(3 + -4x) + 2(5 + -6x) + -6 = 3(2x + -5)(x + -3)
(3 * -1 + -4x * -1) + 2(5 + -6x) + -6 = 3(2x + -5)(x + -3)
(-3 + 4x) + 2(5 + -6x) + -6 = 3(2x + -5)(x + -3)
-3 + 4x + (5 * 2 + -6x * 2) + -6 = 3(2x + -5)(x + -3)
-3 + 4x + (10 + -12x) + -6 = 3(2x + -5)(x + -3)

Reorder the terms:
-3 + 10 + -6 + 4x + -12x = 3(2x + -5)(x + -3)

Combine like terms: -3 + 10 = 7
7 + -6 + 4x + -12x = 3(2x + -5)(x + -3)

Combine like terms: 7 + -6 = 1
1 + 4x + -12x = 3(2x + -5)(x + -3)

Combine like terms: 4x + -12x = -8x
1 + -8x = 3(2x + -5)(x + -3)

Reorder the terms:
1 + -8x = 3(-5 + 2x)(x + -3)

Reorder the terms:
1 + -8x = 3(-5 + 2x)(-3 + x)

Multiply (-5 + 2x) * (-3 + x)
1 + -8x = 3(-5(-3 + x) + 2x * (-3 + x))
1 + -8x = 3((-3 * -5 + x * -5) + 2x * (-3 + x))
1 + -8x = 3((15 + -5x) + 2x * (-3 + x))
1 + -8x = 3(15 + -5x + (-3 * 2x + x * 2x))
1 + -8x = 3(15 + -5x + (-6x + 2x2))

Combine like terms: -5x + -6x = -11x
1 + -8x = 3(15 + -11x + 2x2)
1 + -8x = (15 * 3 + -11x * 3 + 2x2 * 3)
1 + -8x = (45 + -33x + 6x2)

Solving
1 + -8x = 45 + -33x + 6x2

Solving for variable 'x'.

Reorder the terms:
1 + -45 + -8x + 33x + -6x2 = 45 + -33x + 6x2 + -45 + 33x + -6x2

Combine like terms: 1 + -45 = -44
-44 + -8x + 33x + -6x2 = 45 + -33x + 6x2 + -45 + 33x + -6x2

Combine like terms: -8x + 33x = 25x
-44 + 25x + -6x2 = 45 + -33x + 6x2 + -45 + 33x + -6x2

Reorder the terms:
-44 + 25x + -6x2 = 45 + -45 + -33x + 33x + 6x2 + -6x2

Combine like terms: 45 + -45 = 0
-44 + 25x + -6x2 = 0 + -33x + 33x + 6x2 + -6x2
-44 + 25x + -6x2 = -33x + 33x + 6x2 + -6x2

Combine like terms: -33x + 33x = 0
-44 + 25x + -6x2 = 0 + 6x2 + -6x2
-44 + 25x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-44 + 25x + -6x2 = 0

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

Divide each side by '-6'.
7.333333333 + -4.166666667x + x2 = 0

Move the constant term to the right:

Add '-7.333333333' to each side of the equation.
7.333333333 + -4.166666667x + -7.333333333 + x2 = 0 + -7.333333333

Reorder the terms:
7.333333333 + -7.333333333 + -4.166666667x + x2 = 0 + -7.333333333

Combine like terms: 7.333333333 + -7.333333333 = 0.000000000
0.000000000 + -4.166666667x + x2 = 0 + -7.333333333
-4.166666667x + x2 = 0 + -7.333333333

Combine like terms: 0 + -7.333333333 = -7.333333333
-4.166666667x + x2 = -7.333333333

The x term is -4.166666667x.  Take half its coefficient (-2.083333334).
Square it (4.340277781) and add it to both sides.

Add '4.340277781' to each side of the equation.
-4.166666667x + 4.340277781 + x2 = -7.333333333 + 4.340277781

Reorder the terms:
4.340277781 + -4.166666667x + x2 = -7.333333333 + 4.340277781

Combine like terms: -7.333333333 + 4.340277781 = -2.993055552
4.340277781 + -4.166666667x + x2 = -2.993055552

Factor a perfect square on the left side:
(x + -2.083333334)(x + -2.083333334) = -2.993055552

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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