227.5w-3w^2-11400=0

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Solution for 227.5w-3w^2-11400=0 equation:


Simplifying
227.5w + -3w2 + -11400 = 0

Reorder the terms:
-11400 + 227.5w + -3w2 = 0

Solving
-11400 + 227.5w + -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'.
3800 + -75.83333333w + w2 = 0

Move the constant term to the right:

Add '-3800' to each side of the equation.
3800 + -75.83333333w + -3800 + w2 = 0 + -3800

Reorder the terms:
3800 + -3800 + -75.83333333w + w2 = 0 + -3800

Combine like terms: 3800 + -3800 = 0
0 + -75.83333333w + w2 = 0 + -3800
-75.83333333w + w2 = 0 + -3800

Combine like terms: 0 + -3800 = -3800
-75.83333333w + w2 = -3800

The w term is -75.83333333w.  Take half its coefficient (-37.91666667).
Square it (1437.673611) and add it to both sides.

Add '1437.673611' to each side of the equation.
-75.83333333w + 1437.673611 + w2 = -3800 + 1437.673611

Reorder the terms:
1437.673611 + -75.83333333w + w2 = -3800 + 1437.673611

Combine like terms: -3800 + 1437.673611 = -2362.326389
1437.673611 + -75.83333333w + w2 = -2362.326389

Factor a perfect square on the left side:
(w + -37.91666667)(w + -37.91666667) = -2362.326389

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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