7x-4x(12-6x)=22-3(4x+12)

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Solution for 7x-4x(12-6x)=22-3(4x+12) equation: 


Simplifying
7x + -4x(12 + -6x) = 22 + -3(4x + 12)
7x + (12 * -4x + -6x * -4x) = 22 + -3(4x + 12)
7x + (-48x + 24x2) = 22 + -3(4x + 12)

Combine like terms: 7x + -48x = -41x
-41x + 24x2 = 22 + -3(4x + 12)

Reorder the terms:
-41x + 24x2 = 22 + -3(12 + 4x)
-41x + 24x2 = 22 + (12 * -3 + 4x * -3)
-41x + 24x2 = 22 + (-36 + -12x)

Combine like terms: 22 + -36 = -14
-41x + 24x2 = -14 + -12x

Solving
-41x + 24x2 = -14 + -12x

Solving for variable 'x'.

Reorder the terms:
14 + -41x + 12x + 24x2 = -14 + -12x + 14 + 12x

Combine like terms: -41x + 12x = -29x
14 + -29x + 24x2 = -14 + -12x + 14 + 12x

Reorder the terms:
14 + -29x + 24x2 = -14 + 14 + -12x + 12x

Combine like terms: -14 + 14 = 0
14 + -29x + 24x2 = 0 + -12x + 12x
14 + -29x + 24x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
14 + -29x + 24x2 = 0

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

Divide each side by '24'.
0.5833333333 + -1.208333333x + x2 = 0

Move the constant term to the right:

Add '-0.5833333333' to each side of the equation.
0.5833333333 + -1.208333333x + -0.5833333333 + x2 = 0 + -0.5833333333

Reorder the terms:
0.5833333333 + -0.5833333333 + -1.208333333x + x2 = 0 + -0.5833333333

Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000
0.0000000000 + -1.208333333x + x2 = 0 + -0.5833333333
-1.208333333x + x2 = 0 + -0.5833333333

Combine like terms: 0 + -0.5833333333 = -0.5833333333
-1.208333333x + x2 = -0.5833333333

The x term is -1.208333333x.  Take half its coefficient (-0.6041666665).
Square it (0.3650173609) and add it to both sides.

Add '0.3650173609' to each side of the equation.
-1.208333333x + 0.3650173609 + x2 = -0.5833333333 + 0.3650173609

Reorder the terms:
0.3650173609 + -1.208333333x + x2 = -0.5833333333 + 0.3650173609

Combine like terms: -0.5833333333 + 0.3650173609 = -0.2183159724
0.3650173609 + -1.208333333x + x2 = -0.2183159724

Factor a perfect square on the left side:
(x + -0.6041666665)(x + -0.6041666665) = -0.2183159724

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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