44=0.006y^2-0.03y+118

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Solution for 44=0.006y^2-0.03y+118 equation:


Simplifying
44 = 0.006y2 + -0.03y + 118

Reorder the terms:
44 = 118 + -0.03y + 0.006y2

Solving
44 = 118 + -0.03y + 0.006y2

Solving for variable 'y'.

Combine like terms: 44 + -118 = -74
-74 + 0.03y + -0.006y2 = 118 + -0.03y + 0.006y2 + -118 + 0.03y + -0.006y2

Reorder the terms:
-74 + 0.03y + -0.006y2 = 118 + -118 + -0.03y + 0.03y + 0.006y2 + -0.006y2

Combine like terms: 118 + -118 = 0
-74 + 0.03y + -0.006y2 = 0 + -0.03y + 0.03y + 0.006y2 + -0.006y2
-74 + 0.03y + -0.006y2 = -0.03y + 0.03y + 0.006y2 + -0.006y2

Combine like terms: -0.03y + 0.03y = 0.00
-74 + 0.03y + -0.006y2 = 0.00 + 0.006y2 + -0.006y2
-74 + 0.03y + -0.006y2 = 0.006y2 + -0.006y2

Combine like terms: 0.006y2 + -0.006y2 = 0.000
-74 + 0.03y + -0.006y2 = 0.000

Begin completing the square.  Divide all terms by
-0.006 the coefficient of the squared term: 

Divide each side by '-0.006'.
12333.33333 + -5y + y2 = 0

Move the constant term to the right:

Add '-12333.33333' to each side of the equation.
12333.33333 + -5y + -12333.33333 + y2 = 0 + -12333.33333

Reorder the terms:
12333.33333 + -12333.33333 + -5y + y2 = 0 + -12333.33333

Combine like terms: 12333.33333 + -12333.33333 = 0.00000
0.00000 + -5y + y2 = 0 + -12333.33333
-5y + y2 = 0 + -12333.33333

Combine like terms: 0 + -12333.33333 = -12333.33333
-5y + y2 = -12333.33333

The y term is -5y.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5y + 6.25 + y2 = -12333.33333 + 6.25

Reorder the terms:
6.25 + -5y + y2 = -12333.33333 + 6.25

Combine like terms: -12333.33333 + 6.25 = -12327.08333
6.25 + -5y + y2 = -12327.08333

Factor a perfect square on the left side:
(y + -2.5)(y + -2.5) = -12327.08333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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