-6(3-2x)=8x-3x(1-2x)+7

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Solution for -6(3-2x)=8x-3x(1-2x)+7 equation: 


Simplifying
-6(3 + -2x) = 8x + -3x(1 + -2x) + 7
(3 * -6 + -2x * -6) = 8x + -3x(1 + -2x) + 7
(-18 + 12x) = 8x + -3x(1 + -2x) + 7
-18 + 12x = 8x + (1 * -3x + -2x * -3x) + 7
-18 + 12x = 8x + (-3x + 6x2) + 7

Reorder the terms:
-18 + 12x = 7 + 8x + -3x + 6x2

Combine like terms: 8x + -3x = 5x
-18 + 12x = 7 + 5x + 6x2

Solving
-18 + 12x = 7 + 5x + 6x2

Solving for variable 'x'.

Reorder the terms:
-18 + -7 + 12x + -5x + -6x2 = 7 + 5x + 6x2 + -7 + -5x + -6x2

Combine like terms: -18 + -7 = -25
-25 + 12x + -5x + -6x2 = 7 + 5x + 6x2 + -7 + -5x + -6x2

Combine like terms: 12x + -5x = 7x
-25 + 7x + -6x2 = 7 + 5x + 6x2 + -7 + -5x + -6x2

Reorder the terms:
-25 + 7x + -6x2 = 7 + -7 + 5x + -5x + 6x2 + -6x2

Combine like terms: 7 + -7 = 0
-25 + 7x + -6x2 = 0 + 5x + -5x + 6x2 + -6x2
-25 + 7x + -6x2 = 5x + -5x + 6x2 + -6x2

Combine like terms: 5x + -5x = 0
-25 + 7x + -6x2 = 0 + 6x2 + -6x2
-25 + 7x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-25 + 7x + -6x2 = 0

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

Divide each side by '-6'.
4.166666667 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-4.166666667' to each side of the equation.
4.166666667 + -1.166666667x + -4.166666667 + x2 = 0 + -4.166666667

Reorder the terms:
4.166666667 + -4.166666667 + -1.166666667x + x2 = 0 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + -1.166666667x + x2 = 0 + -4.166666667
-1.166666667x + x2 = 0 + -4.166666667

Combine like terms: 0 + -4.166666667 = -4.166666667
-1.166666667x + x2 = -4.166666667

The x term is -1.166666667x.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667x + 0.3402777780 + x2 = -4.166666667 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -4.166666667 + 0.3402777780

Combine like terms: -4.166666667 + 0.3402777780 = -3.826388889
0.3402777780 + -1.166666667x + x2 = -3.826388889

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -3.826388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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