0.20y(y-3)+0.06y=0.08-1.5

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Solution for 0.20y(y-3)+0.06y=0.08-1.5 equation:


Simplifying
0.20y(y + -3) + 0.06y = 0.08 + -1.5

Reorder the terms:
0.20y(-3 + y) + 0.06y = 0.08 + -1.5
(-3 * 0.20y + y * 0.20y) + 0.06y = 0.08 + -1.5
(-0.6y + 0.20y2) + 0.06y = 0.08 + -1.5

Reorder the terms:
-0.6y + 0.06y + 0.20y2 = 0.08 + -1.5

Combine like terms: -0.6y + 0.06y = -0.54y
-0.54y + 0.20y2 = 0.08 + -1.5

Combine like terms: 0.08 + -1.5 = -1.42
-0.54y + 0.20y2 = -1.42

Solving
-0.54y + 0.20y2 = -1.42

Solving for variable 'y'.

Reorder the terms:
1.42 + -0.54y + 0.20y2 = -1.42 + 1.42

Combine like terms: -1.42 + 1.42 = 0.00
1.42 + -0.54y + 0.20y2 = 0.00

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

Divide each side by '0.20'.
7.1 + -2.7y + y2 = 0

Move the constant term to the right:

Add '-7.1' to each side of the equation.
7.1 + -2.7y + -7.1 + y2 = 0 + -7.1

Reorder the terms:
7.1 + -7.1 + -2.7y + y2 = 0 + -7.1

Combine like terms: 7.1 + -7.1 = 0.0
0.0 + -2.7y + y2 = 0 + -7.1
-2.7y + y2 = 0 + -7.1

Combine like terms: 0 + -7.1 = -7.1
-2.7y + y2 = -7.1

The y term is -2.7y.  Take half its coefficient (-1.35).
Square it (1.8225) and add it to both sides.

Add '1.8225' to each side of the equation.
-2.7y + 1.8225 + y2 = -7.1 + 1.8225

Reorder the terms:
1.8225 + -2.7y + y2 = -7.1 + 1.8225

Combine like terms: -7.1 + 1.8225 = -5.2775
1.8225 + -2.7y + y2 = -5.2775

Factor a perfect square on the left side:
(y + -1.35)(y + -1.35) = -5.2775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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