4x+3x(x-2)=(5x-20)-x

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Solution for 4x+3x(x-2)=(5x-20)-x equation: 


Simplifying
4x + 3x(x + -2) = (5x + -20) + -1x

Reorder the terms:
4x + 3x(-2 + x) = (5x + -20) + -1x
4x + (-2 * 3x + x * 3x) = (5x + -20) + -1x
4x + (-6x + 3x2) = (5x + -20) + -1x

Combine like terms: 4x + -6x = -2x
-2x + 3x2 = (5x + -20) + -1x

Reorder the terms:
-2x + 3x2 = (-20 + 5x) + -1x

Remove parenthesis around (-20 + 5x)
-2x + 3x2 = -20 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-2x + 3x2 = -20 + 4x

Solving
-2x + 3x2 = -20 + 4x

Solving for variable 'x'.

Reorder the terms:
20 + -2x + -4x + 3x2 = -20 + 4x + 20 + -4x

Combine like terms: -2x + -4x = -6x
20 + -6x + 3x2 = -20 + 4x + 20 + -4x

Reorder the terms:
20 + -6x + 3x2 = -20 + 20 + 4x + -4x

Combine like terms: -20 + 20 = 0
20 + -6x + 3x2 = 0 + 4x + -4x
20 + -6x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -6x + 3x2 = 0

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

Divide each side by '3'.
6.666666667 + -2x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -2x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -2x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -2x + x2 = 0 + -6.666666667
-2x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-2x + x2 = -6.666666667

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -6.666666667 + 1

Reorder the terms:
1 + -2x + x2 = -6.666666667 + 1

Combine like terms: -6.666666667 + 1 = -5.666666667
1 + -2x + x2 = -5.666666667

Factor a perfect square on the left side:
(x + -1)(x + -1) = -5.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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