-3w^2+11w=70

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Solution for -3w^2+11w=70 equation: 


Simplifying
-3w2 + 11w = 70

Reorder the terms:
11w + -3w2 = 70

Solving
11w + -3w2 = 70

Solving for variable 'w'.

Reorder the terms:
-70 + 11w + -3w2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + 11w + -3w2 = 0

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

Divide each side by '-3'.
23.33333333 + -3.666666667w + w2 = 0

Move the constant term to the right:

Add '-23.33333333' to each side of the equation.
23.33333333 + -3.666666667w + -23.33333333 + w2 = 0 + -23.33333333

Reorder the terms:
23.33333333 + -23.33333333 + -3.666666667w + w2 = 0 + -23.33333333

Combine like terms: 23.33333333 + -23.33333333 = 0.00000000
0.00000000 + -3.666666667w + w2 = 0 + -23.33333333
-3.666666667w + w2 = 0 + -23.33333333

Combine like terms: 0 + -23.33333333 = -23.33333333
-3.666666667w + w2 = -23.33333333

The w term is -3.666666667w.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667w + 3.361111114 + w2 = -23.33333333 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667w + w2 = -23.33333333 + 3.361111114

Combine like terms: -23.33333333 + 3.361111114 = -19.972222216
3.361111114 + -3.666666667w + w2 = -19.972222216

Factor a perfect square on the left side:
(w + -1.833333334)(w + -1.833333334) = -19.972222216

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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