=8-3x(2-x)

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Solution for =8-3x(2-x) equation: 


Simplifying
0 = 8 + -3x(2 + -1x)
0 = 8 + (2 * -3x + -1x * -3x)
0 = 8 + (-6x + 3x2)

Solving
0 = 8 + -6x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -8 = -8
-8 + 6x + -3x2 = 8 + -6x + 3x2 + -8 + 6x + -3x2

Reorder the terms:
-8 + 6x + -3x2 = 8 + -8 + -6x + 6x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-8 + 6x + -3x2 = 0 + -6x + 6x + 3x2 + -3x2
-8 + 6x + -3x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
-8 + 6x + -3x2 = 0 + 3x2 + -3x2
-8 + 6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 + 6x + -3x2 = 0

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

Divide each side by '-3'.
2.666666667 + -2x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -2x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -2x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -2x + x2 = 0 + -2.666666667
-2x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-2x + x2 = -2.666666667

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 = -2.666666667 + 1

Reorder the terms:
1 + -2x + x2 = -2.666666667 + 1

Combine like terms: -2.666666667 + 1 = -1.666666667
1 + -2x + x2 = -1.666666667

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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