1y+58(5y-9)=47y(75y+1)

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Solution for 1y+58(5y-9)=47y(75y+1) equation: 


Simplifying
1y + 58(5y + -9) = 47y(75y + 1)

Reorder the terms:
1y + 58(-9 + 5y) = 47y(75y + 1)
1y + (-9 * 58 + 5y * 58) = 47y(75y + 1)
1y + (-522 + 290y) = 47y(75y + 1)

Reorder the terms:
-522 + 1y + 290y = 47y(75y + 1)

Combine like terms: 1y + 290y = 291y
-522 + 291y = 47y(75y + 1)

Reorder the terms:
-522 + 291y = 47y(1 + 75y)
-522 + 291y = (1 * 47y + 75y * 47y)
-522 + 291y = (47y + 3525y2)

Solving
-522 + 291y = 47y + 3525y2

Solving for variable 'y'.

Combine like terms: 291y + -47y = 244y
-522 + 244y + -3525y2 = 47y + 3525y2 + -47y + -3525y2

Reorder the terms:
-522 + 244y + -3525y2 = 47y + -47y + 3525y2 + -3525y2

Combine like terms: 47y + -47y = 0
-522 + 244y + -3525y2 = 0 + 3525y2 + -3525y2
-522 + 244y + -3525y2 = 3525y2 + -3525y2

Combine like terms: 3525y2 + -3525y2 = 0
-522 + 244y + -3525y2 = 0

Begin completing the square.  Divide all terms by
-3525 the coefficient of the squared term: 

Divide each side by '-3525'.
0.1480851064 + -0.06921985816y + y2 = 0

Move the constant term to the right:

Add '-0.1480851064' to each side of the equation.
0.1480851064 + -0.06921985816y + -0.1480851064 + y2 = 0 + -0.1480851064

Reorder the terms:
0.1480851064 + -0.1480851064 + -0.06921985816y + y2 = 0 + -0.1480851064

Combine like terms: 0.1480851064 + -0.1480851064 = 0.0000000000
0.0000000000 + -0.06921985816y + y2 = 0 + -0.1480851064
-0.06921985816y + y2 = 0 + -0.1480851064

Combine like terms: 0 + -0.1480851064 = -0.1480851064
-0.06921985816y + y2 = -0.1480851064

The y term is -0.06921985816y.  Take half its coefficient (-0.03460992908).
Square it (0.001197847191) and add it to both sides.

Add '0.001197847191' to each side of the equation.
-0.06921985816y + 0.001197847191 + y2 = -0.1480851064 + 0.001197847191

Reorder the terms:
0.001197847191 + -0.06921985816y + y2 = -0.1480851064 + 0.001197847191

Combine like terms: -0.1480851064 + 0.001197847191 = -0.146887259209
0.001197847191 + -0.06921985816y + y2 = -0.146887259209

Factor a perfect square on the left side:
(y + -0.03460992908)(y + -0.03460992908) = -0.146887259209

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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