0.08y(y-4)+0.06y=0.12y-0.05(10)

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Solution for 0.08y(y-4)+0.06y=0.12y-0.05(10) equation:


Simplifying
0.08y(y + -4) + 0.06y = 0.12y + -0.05(10)

Reorder the terms:
0.08y(-4 + y) + 0.06y = 0.12y + -0.05(10)
(-4 * 0.08y + y * 0.08y) + 0.06y = 0.12y + -0.05(10)
(-0.32y + 0.08y2) + 0.06y = 0.12y + -0.05(10)

Reorder the terms:
-0.32y + 0.06y + 0.08y2 = 0.12y + -0.05(10)

Combine like terms: -0.32y + 0.06y = -0.26y
-0.26y + 0.08y2 = 0.12y + -0.05(10)

Multiply -0.05 * 10
-0.26y + 0.08y2 = 0.12y + -0.5

Reorder the terms:
-0.26y + 0.08y2 = -0.5 + 0.12y

Solving
-0.26y + 0.08y2 = -0.5 + 0.12y

Solving for variable 'y'.

Reorder the terms:
0.5 + -0.26y + -0.12y + 0.08y2 = -0.5 + 0.12y + 0.5 + -0.12y

Combine like terms: -0.26y + -0.12y = -0.38y
0.5 + -0.38y + 0.08y2 = -0.5 + 0.12y + 0.5 + -0.12y

Reorder the terms:
0.5 + -0.38y + 0.08y2 = -0.5 + 0.5 + 0.12y + -0.12y

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + -0.38y + 0.08y2 = 0.0 + 0.12y + -0.12y
0.5 + -0.38y + 0.08y2 = 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
0.5 + -0.38y + 0.08y2 = 0.00

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

Divide each side by '0.08'.
6.25 + -4.75y + y2 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -4.75y + -6.25 + y2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -4.75y + y2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -4.75y + y2 = 0 + -6.25
-4.75y + y2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-4.75y + y2 = -6.25

The y term is -4.75y.  Take half its coefficient (-2.375).
Square it (5.640625) and add it to both sides.

Add '5.640625' to each side of the equation.
-4.75y + 5.640625 + y2 = -6.25 + 5.640625

Reorder the terms:
5.640625 + -4.75y + y2 = -6.25 + 5.640625

Combine like terms: -6.25 + 5.640625 = -0.609375
5.640625 + -4.75y + y2 = -0.609375

Factor a perfect square on the left side:
(y + -2.375)(y + -2.375) = -0.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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