0.18(y-9)0.14y=0.08y-3

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Solution for 0.18(y-9)0.14y=0.08y-3 equation: 


Simplifying
0.18(y + -9) * 0.14y = 0.08y + -3

Reorder the terms:
0.18(-9 + y) * 0.14y = 0.08y + -3

Reorder the terms for easier multiplication:
0.18 * 0.14y(-9 + y) = 0.08y + -3

Multiply 0.18 * 0.14
0.0252y(-9 + y) = 0.08y + -3
(-9 * 0.0252y + y * 0.0252y) = 0.08y + -3
(-0.2268y + 0.0252y2) = 0.08y + -3

Reorder the terms:
-0.2268y + 0.0252y2 = -3 + 0.08y

Solving
-0.2268y + 0.0252y2 = -3 + 0.08y

Solving for variable 'y'.

Reorder the terms:
3 + -0.2268y + -0.08y + 0.0252y2 = -3 + 0.08y + 3 + -0.08y

Combine like terms: -0.2268y + -0.08y = -0.3068y
3 + -0.3068y + 0.0252y2 = -3 + 0.08y + 3 + -0.08y

Reorder the terms:
3 + -0.3068y + 0.0252y2 = -3 + 3 + 0.08y + -0.08y

Combine like terms: -3 + 3 = 0
3 + -0.3068y + 0.0252y2 = 0 + 0.08y + -0.08y
3 + -0.3068y + 0.0252y2 = 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
3 + -0.3068y + 0.0252y2 = 0.00

Begin completing the square.  Divide all terms by
0.0252 the coefficient of the squared term: 

Divide each side by '0.0252'.
119.047619 + -12.17460317y + y2 = 0

Move the constant term to the right:

Add '-119.047619' to each side of the equation.
119.047619 + -12.17460317y + -119.047619 + y2 = 0 + -119.047619

Reorder the terms:
119.047619 + -119.047619 + -12.17460317y + y2 = 0 + -119.047619

Combine like terms: 119.047619 + -119.047619 = 0.000000
0.000000 + -12.17460317y + y2 = 0 + -119.047619
-12.17460317y + y2 = 0 + -119.047619

Combine like terms: 0 + -119.047619 = -119.047619
-12.17460317y + y2 = -119.047619

The y term is -12.17460317y.  Take half its coefficient (-6.087301585).
Square it (37.05524059) and add it to both sides.

Add '37.05524059' to each side of the equation.
-12.17460317y + 37.05524059 + y2 = -119.047619 + 37.05524059

Reorder the terms:
37.05524059 + -12.17460317y + y2 = -119.047619 + 37.05524059

Combine like terms: -119.047619 + 37.05524059 = -81.99237841
37.05524059 + -12.17460317y + y2 = -81.99237841

Factor a perfect square on the left side:
(y + -6.087301585)(y + -6.087301585) = -81.99237841

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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