8w-3w^2-35=0

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Solution for 8w-3w^2-35=0 equation:


Simplifying
8w + -3w2 + -35 = 0

Reorder the terms:
-35 + 8w + -3w2 = 0

Solving
-35 + 8w + -3w2 = 0

Solving for variable 'w'.

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

Divide each side by '-3'.
11.66666667 + -2.666666667w + w2 = 0

Move the constant term to the right:

Add '-11.66666667' to each side of the equation.
11.66666667 + -2.666666667w + -11.66666667 + w2 = 0 + -11.66666667

Reorder the terms:
11.66666667 + -11.66666667 + -2.666666667w + w2 = 0 + -11.66666667

Combine like terms: 11.66666667 + -11.66666667 = 0.00000000
0.00000000 + -2.666666667w + w2 = 0 + -11.66666667
-2.666666667w + w2 = 0 + -11.66666667

Combine like terms: 0 + -11.66666667 = -11.66666667
-2.666666667w + w2 = -11.66666667

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 = -11.66666667 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667w + w2 = -11.66666667 + 1.777777780

Combine like terms: -11.66666667 + 1.777777780 = -9.88888889
1.777777780 + -2.666666667w + w2 = -9.88888889

Factor a perfect square on the left side:
(w + -1.333333334)(w + -1.333333334) = -9.88888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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