5x-3x(x-4)=4(x+2)+2(9-2x)

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Solution for 5x-3x(x-4)=4(x+2)+2(9-2x) equation: 


Simplifying
5x + -3x(x + -4) = 4(x + 2) + 2(9 + -2x)

Reorder the terms:
5x + -3x(-4 + x) = 4(x + 2) + 2(9 + -2x)
5x + (-4 * -3x + x * -3x) = 4(x + 2) + 2(9 + -2x)
5x + (12x + -3x2) = 4(x + 2) + 2(9 + -2x)

Combine like terms: 5x + 12x = 17x
17x + -3x2 = 4(x + 2) + 2(9 + -2x)

Reorder the terms:
17x + -3x2 = 4(2 + x) + 2(9 + -2x)
17x + -3x2 = (2 * 4 + x * 4) + 2(9 + -2x)
17x + -3x2 = (8 + 4x) + 2(9 + -2x)
17x + -3x2 = 8 + 4x + (9 * 2 + -2x * 2)
17x + -3x2 = 8 + 4x + (18 + -4x)

Reorder the terms:
17x + -3x2 = 8 + 18 + 4x + -4x

Combine like terms: 8 + 18 = 26
17x + -3x2 = 26 + 4x + -4x

Combine like terms: 4x + -4x = 0
17x + -3x2 = 26 + 0
17x + -3x2 = 26

Solving
17x + -3x2 = 26

Solving for variable 'x'.

Reorder the terms:
-26 + 17x + -3x2 = 26 + -26

Combine like terms: 26 + -26 = 0
-26 + 17x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
8.666666667 + -5.666666667x + x2 = 0

Move the constant term to the right:

Add '-8.666666667' to each side of the equation.
8.666666667 + -5.666666667x + -8.666666667 + x2 = 0 + -8.666666667

Reorder the terms:
8.666666667 + -8.666666667 + -5.666666667x + x2 = 0 + -8.666666667

Combine like terms: 8.666666667 + -8.666666667 = 0.000000000
0.000000000 + -5.666666667x + x2 = 0 + -8.666666667
-5.666666667x + x2 = 0 + -8.666666667

Combine like terms: 0 + -8.666666667 = -8.666666667
-5.666666667x + x2 = -8.666666667

The x term is -5.666666667x.  Take half its coefficient (-2.833333334).
Square it (8.027777782) and add it to both sides.

Add '8.027777782' to each side of the equation.
-5.666666667x + 8.027777782 + x2 = -8.666666667 + 8.027777782

Reorder the terms:
8.027777782 + -5.666666667x + x2 = -8.666666667 + 8.027777782

Combine like terms: -8.666666667 + 8.027777782 = -0.638888885
8.027777782 + -5.666666667x + x2 = -0.638888885

Factor a perfect square on the left side:
(x + -2.833333334)(x + -2.833333334) = -0.638888885

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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