0.14(y-5)0.8y=0.02y-1.4

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Solution for 0.14(y-5)0.8y=0.02y-1.4 equation: 


Simplifying
0.14(y + -5) * 0.8y = 0.02y + -1.4

Reorder the terms:
0.14(-5 + y) * 0.8y = 0.02y + -1.4

Reorder the terms for easier multiplication:
0.14 * 0.8y(-5 + y) = 0.02y + -1.4

Multiply 0.14 * 0.8
0.112y(-5 + y) = 0.02y + -1.4
(-5 * 0.112y + y * 0.112y) = 0.02y + -1.4
(-0.56y + 0.112y2) = 0.02y + -1.4

Reorder the terms:
-0.56y + 0.112y2 = -1.4 + 0.02y

Solving
-0.56y + 0.112y2 = -1.4 + 0.02y

Solving for variable 'y'.

Reorder the terms:
1.4 + -0.56y + -0.02y + 0.112y2 = -1.4 + 0.02y + 1.4 + -0.02y

Combine like terms: -0.56y + -0.02y = -0.58y
1.4 + -0.58y + 0.112y2 = -1.4 + 0.02y + 1.4 + -0.02y

Reorder the terms:
1.4 + -0.58y + 0.112y2 = -1.4 + 1.4 + 0.02y + -0.02y

Combine like terms: -1.4 + 1.4 = 0.0
1.4 + -0.58y + 0.112y2 = 0.0 + 0.02y + -0.02y
1.4 + -0.58y + 0.112y2 = 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
1.4 + -0.58y + 0.112y2 = 0.00

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

Divide each side by '0.112'.
12.5 + -5.178571429y + y2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + -5.178571429y + -12.5 + y2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + -5.178571429y + y2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -5.178571429y + y2 = 0 + -12.5
-5.178571429y + y2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
-5.178571429y + y2 = -12.5

The y term is -5.178571429y.  Take half its coefficient (-2.589285715).
Square it (6.704400514) and add it to both sides.

Add '6.704400514' to each side of the equation.
-5.178571429y + 6.704400514 + y2 = -12.5 + 6.704400514

Reorder the terms:
6.704400514 + -5.178571429y + y2 = -12.5 + 6.704400514

Combine like terms: -12.5 + 6.704400514 = -5.795599486
6.704400514 + -5.178571429y + y2 = -5.795599486

Factor a perfect square on the left side:
(y + -2.589285715)(y + -2.589285715) = -5.795599486

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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