3w^2-12w+98=0

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Solution for 3w^2-12w+98=0 equation:


Simplifying
3w2 + -12w + 98 = 0

Reorder the terms:
98 + -12w + 3w2 = 0

Solving
98 + -12w + 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'.
32.66666667 + -4w + w2 = 0

Move the constant term to the right:

Add '-32.66666667' to each side of the equation.
32.66666667 + -4w + -32.66666667 + w2 = 0 + -32.66666667

Reorder the terms:
32.66666667 + -32.66666667 + -4w + w2 = 0 + -32.66666667

Combine like terms: 32.66666667 + -32.66666667 = 0.00000000
0.00000000 + -4w + w2 = 0 + -32.66666667
-4w + w2 = 0 + -32.66666667

Combine like terms: 0 + -32.66666667 = -32.66666667
-4w + w2 = -32.66666667

The w term is -4w.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4w + 4 + w2 = -32.66666667 + 4

Reorder the terms:
4 + -4w + w2 = -32.66666667 + 4

Combine like terms: -32.66666667 + 4 = -28.66666667
4 + -4w + w2 = -28.66666667

Factor a perfect square on the left side:
(w + -2)(w + -2) = -28.66666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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