5x-3x(x-1)=39

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Solution for 5x-3x(x-1)=39 equation: 


Simplifying
5x + -3x(x + -1) = 39

Reorder the terms:
5x + -3x(-1 + x) = 39
5x + (-1 * -3x + x * -3x) = 39
5x + (3x + -3x2) = 39

Combine like terms: 5x + 3x = 8x
8x + -3x2 = 39

Solving
8x + -3x2 = 39

Solving for variable 'x'.

Reorder the terms:
-39 + 8x + -3x2 = 39 + -39

Combine like terms: 39 + -39 = 0
-39 + 8x + -3x2 = 0

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

Divide each side by '-3'.
13 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -2.666666667x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -2.666666667x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2.666666667x + x2 = 0 + -13
-2.666666667x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-2.666666667x + x2 = -13

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -13 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -13 + 1.777777780

Combine like terms: -13 + 1.777777780 = -11.22222222
1.777777780 + -2.666666667x + x2 = -11.22222222

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -11.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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