77=(10-3w)w

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Solution for 77=(10-3w)w equation: 


Simplifying
77 = (10 + -3w) * w

Reorder the terms for easier multiplication:
77 = w(10 + -3w)
77 = (10 * w + -3w * w)
77 = (10w + -3w2)

Solving
77 = 10w + -3w2

Solving for variable 'w'.

Reorder the terms:
77 + -10w + 3w2 = 10w + -10w + -3w2 + 3w2

Combine like terms: 10w + -10w = 0
77 + -10w + 3w2 = 0 + -3w2 + 3w2
77 + -10w + 3w2 = -3w2 + 3w2

Combine like terms: -3w2 + 3w2 = 0
77 + -10w + 3w2 = 0

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

Divide each side by '3'.
25.66666667 + -3.333333333w + w2 = 0

Move the constant term to the right:

Add '-25.66666667' to each side of the equation.
25.66666667 + -3.333333333w + -25.66666667 + w2 = 0 + -25.66666667

Reorder the terms:
25.66666667 + -25.66666667 + -3.333333333w + w2 = 0 + -25.66666667

Combine like terms: 25.66666667 + -25.66666667 = 0.00000000
0.00000000 + -3.333333333w + w2 = 0 + -25.66666667
-3.333333333w + w2 = 0 + -25.66666667

Combine like terms: 0 + -25.66666667 = -25.66666667
-3.333333333w + w2 = -25.66666667

The w term is -3.333333333w.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333w + 2.777777779 + w2 = -25.66666667 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333w + w2 = -25.66666667 + 2.777777779

Combine like terms: -25.66666667 + 2.777777779 = -22.888888891
2.777777779 + -3.333333333w + w2 = -22.888888891

Factor a perfect square on the left side:
(w + -1.666666667)(w + -1.666666667) = -22.888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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