.014y(y-4)+0.20y=0.04-.5

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Solution for .014y(y-4)+0.20y=0.04-.5 equation: 


Simplifying
0.014y(y + -4) + 0.20y = 0.04 + -0.5

Reorder the terms:
0.014y(-4 + y) + 0.20y = 0.04 + -0.5
(-4 * 0.014y + y * 0.014y) + 0.20y = 0.04 + -0.5
(-0.056y + 0.014y2) + 0.20y = 0.04 + -0.5

Reorder the terms:
-0.056y + 0.20y + 0.014y2 = 0.04 + -0.5

Combine like terms: -0.056y + 0.20y = 0.144y
0.144y + 0.014y2 = 0.04 + -0.5

Combine like terms: 0.04 + -0.5 = -0.46
0.144y + 0.014y2 = -0.46

Solving
0.144y + 0.014y2 = -0.46

Solving for variable 'y'.

Reorder the terms:
0.46 + 0.144y + 0.014y2 = -0.46 + 0.46

Combine like terms: -0.46 + 0.46 = 0.00
0.46 + 0.144y + 0.014y2 = 0.00

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

Divide each side by '0.014'.
32.85714286 + 10.28571429y + y2 = 0

Move the constant term to the right:

Add '-32.85714286' to each side of the equation.
32.85714286 + 10.28571429y + -32.85714286 + y2 = 0 + -32.85714286

Reorder the terms:
32.85714286 + -32.85714286 + 10.28571429y + y2 = 0 + -32.85714286

Combine like terms: 32.85714286 + -32.85714286 = 0.00000000
0.00000000 + 10.28571429y + y2 = 0 + -32.85714286
10.28571429y + y2 = 0 + -32.85714286

Combine like terms: 0 + -32.85714286 = -32.85714286
10.28571429y + y2 = -32.85714286

The y term is 10.28571429y.  Take half its coefficient (5.142857145).
Square it (26.44897961) and add it to both sides.

Add '26.44897961' to each side of the equation.
10.28571429y + 26.44897961 + y2 = -32.85714286 + 26.44897961

Reorder the terms:
26.44897961 + 10.28571429y + y2 = -32.85714286 + 26.44897961

Combine like terms: -32.85714286 + 26.44897961 = -6.40816325
26.44897961 + 10.28571429y + y2 = -6.40816325

Factor a perfect square on the left side:
(y + 5.142857145)(y + 5.142857145) = -6.40816325

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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