2w-8=3w(w-2)+w

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Solution for 2w-8=3w(w-2)+w equation: 


Simplifying
2w + -8 = 3w(w + -2) + w

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

Reorder the terms:
-8 + 2w = 3w(-2 + w) + w
-8 + 2w = (-2 * 3w + w * 3w) + w
-8 + 2w = (-6w + 3w2) + w

Reorder the terms:
-8 + 2w = -6w + w + 3w2

Combine like terms: -6w + w = -5w
-8 + 2w = -5w + 3w2

Solving
-8 + 2w = -5w + 3w2

Solving for variable 'w'.

Combine like terms: 2w + 5w = 7w
-8 + 7w + -3w2 = -5w + 3w2 + 5w + -3w2

Reorder the terms:
-8 + 7w + -3w2 = -5w + 5w + 3w2 + -3w2

Combine like terms: -5w + 5w = 0
-8 + 7w + -3w2 = 0 + 3w2 + -3w2
-8 + 7w + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
-8 + 7w + -3w2 = 0

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

Divide each side by '-3'.
2.666666667 + -2.333333333w + w2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.333333333w + -2.666666667 + w2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -2.333333333w + w2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -2.333333333w + w2 = 0 + -2.666666667
-2.333333333w + w2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-2.333333333w + w2 = -2.666666667

The w term is -2.333333333w.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333w + 1.361111112 + w2 = -2.666666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333w + w2 = -2.666666667 + 1.361111112

Combine like terms: -2.666666667 + 1.361111112 = -1.305555555
1.361111112 + -2.333333333w + w2 = -1.305555555

Factor a perfect square on the left side:
(w + -1.166666667)(w + -1.166666667) = -1.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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