2x(6x-3)=-4(3x+7)-x

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Solution for 2x(6x-3)=-4(3x+7)-x equation: 


Simplifying
2x(6x + -3) = -4(3x + 7) + -1x

Reorder the terms:
2x(-3 + 6x) = -4(3x + 7) + -1x
(-3 * 2x + 6x * 2x) = -4(3x + 7) + -1x
(-6x + 12x2) = -4(3x + 7) + -1x

Reorder the terms:
-6x + 12x2 = -4(7 + 3x) + -1x
-6x + 12x2 = (7 * -4 + 3x * -4) + -1x
-6x + 12x2 = (-28 + -12x) + -1x

Combine like terms: -12x + -1x = -13x
-6x + 12x2 = -28 + -13x

Solving
-6x + 12x2 = -28 + -13x

Solving for variable 'x'.

Reorder the terms:
28 + -6x + 13x + 12x2 = -28 + -13x + 28 + 13x

Combine like terms: -6x + 13x = 7x
28 + 7x + 12x2 = -28 + -13x + 28 + 13x

Reorder the terms:
28 + 7x + 12x2 = -28 + 28 + -13x + 13x

Combine like terms: -28 + 28 = 0
28 + 7x + 12x2 = 0 + -13x + 13x
28 + 7x + 12x2 = -13x + 13x

Combine like terms: -13x + 13x = 0
28 + 7x + 12x2 = 0

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

Divide each side by '12'.
2.333333333 + 0.5833333333x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 0.5833333333x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 0.5833333333x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 0.5833333333x + x2 = 0 + -2.333333333
0.5833333333x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
0.5833333333x + x2 = -2.333333333

The x term is 0.5833333333x.  Take half its coefficient (0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
0.5833333333x + 0.08506944446 + x2 = -2.333333333 + 0.08506944446

Reorder the terms:
0.08506944446 + 0.5833333333x + x2 = -2.333333333 + 0.08506944446

Combine like terms: -2.333333333 + 0.08506944446 = -2.24826388854
0.08506944446 + 0.5833333333x + x2 = -2.24826388854

Factor a perfect square on the left side:
(x + 0.2916666667)(x + 0.2916666667) = -2.24826388854

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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