2W-8=3(W-2)W

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


Simplifying
2W + -8 = 3(W + -2) * W

Reorder the terms:
-8 + 2W = 3(W + -2) * W

Reorder the terms:
-8 + 2W = 3(-2 + W) * W

Reorder the terms for easier multiplication:
-8 + 2W = 3W(-2 + W)
-8 + 2W = (-2 * 3W + W * 3W)
-8 + 2W = (-6W + 3W2)

Solving
-8 + 2W = -6W + 3W2

Solving for variable 'W'.

Combine like terms: 2W + 6W = 8W
-8 + 8W + -3W2 = -6W + 3W2 + 6W + -3W2

Reorder the terms:
-8 + 8W + -3W2 = -6W + 6W + 3W2 + -3W2

Combine like terms: -6W + 6W = 0
-8 + 8W + -3W2 = 0 + 3W2 + -3W2
-8 + 8W + -3W2 = 3W2 + -3W2

Combine like terms: 3W2 + -3W2 = 0
-8 + 8W + -3W2 = 0

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

Divide each side by '-3'.
2.666666667 + -2.666666667W + W2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.666666667W + -2.666666667 + W2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -2.666666667W + W2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -2.666666667W + W2 = 0 + -2.666666667
-2.666666667W + W2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-2.666666667W + W2 = -2.666666667

The W term is -2.666666667W.  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.
-2.666666667W + 1.777777780 + W2 = -2.666666667 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667W + W2 = -2.666666667 + 1.777777780

Combine like terms: -2.666666667 + 1.777777780 = -0.888888887
1.777777780 + -2.666666667W + W2 = -0.888888887

Factor a perfect square on the left side:
(W + -1.333333334)(W + -1.333333334) = -0.888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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