-75=y(18y-1)

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Solution for -75=y(18y-1) equation: 


Simplifying
-75 = y(18y + -1)

Reorder the terms:
-75 = y(-1 + 18y)
-75 = (-1 * y + 18y * y)
-75 = (-1y + 18y2)

Solving
-75 = -1y + 18y2

Solving for variable 'y'.

Reorder the terms:
-75 + y + -18y2 = -1y + y + 18y2 + -18y2

Combine like terms: -1y + y = 0
-75 + y + -18y2 = 0 + 18y2 + -18y2
-75 + y + -18y2 = 18y2 + -18y2

Combine like terms: 18y2 + -18y2 = 0
-75 + y + -18y2 = 0

Begin completing the square.  Divide all terms by
-18 the coefficient of the squared term: 

Divide each side by '-18'.
4.166666667 + -0.05555555556y + y2 = 0

Move the constant term to the right:

Add '-4.166666667' to each side of the equation.
4.166666667 + -0.05555555556y + -4.166666667 + y2 = 0 + -4.166666667

Reorder the terms:
4.166666667 + -4.166666667 + -0.05555555556y + y2 = 0 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + -0.05555555556y + y2 = 0 + -4.166666667
-0.05555555556y + y2 = 0 + -4.166666667

Combine like terms: 0 + -4.166666667 = -4.166666667
-0.05555555556y + y2 = -4.166666667

The y term is y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.05555555556y + 0.25 + y2 = -4.166666667 + 0.25

Reorder the terms:
0.25 + -0.05555555556y + y2 = -4.166666667 + 0.25

Combine like terms: -4.166666667 + 0.25 = -3.916666667
0.25 + -0.05555555556y + y2 = -3.916666667

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -3.916666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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