5w-3w^2-50=0

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Solution for 5w-3w^2-50=0 equation:


Simplifying
5w + -3w2 + -50 = 0

Reorder the terms:
-50 + 5w + -3w2 = 0

Solving
-50 + 5w + -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'.
16.66666667 + -1.666666667w + w2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + -1.666666667w + -16.66666667 + w2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + -1.666666667w + w2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + -1.666666667w + w2 = 0 + -16.66666667
-1.666666667w + w2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
-1.666666667w + w2 = -16.66666667

The w term is -1.666666667w.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667w + 0.6944444447 + w2 = -16.66666667 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667w + w2 = -16.66666667 + 0.6944444447

Combine like terms: -16.66666667 + 0.6944444447 = -15.9722222253
0.6944444447 + -1.666666667w + w2 = -15.9722222253

Factor a perfect square on the left side:
(w + -0.8333333335)(w + -0.8333333335) = -15.9722222253

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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