2(7+6y)+15(-1+y)y=1

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Solution for 2(7+6y)+15(-1+y)y=1 equation: 


Simplifying
2(7 + 6y) + 15(-1 + y) * y = 1
(7 * 2 + 6y * 2) + 15(-1 + y) * y = 1
(14 + 12y) + 15(-1 + y) * y = 1

Reorder the terms for easier multiplication:
14 + 12y + 15y(-1 + y) = 1
14 + 12y + (-1 * 15y + y * 15y) = 1
14 + 12y + (-15y + 15y2) = 1

Combine like terms: 12y + -15y = -3y
14 + -3y + 15y2 = 1

Solving
14 + -3y + 15y2 = 1

Solving for variable 'y'.

Reorder the terms:
14 + -1 + -3y + 15y2 = 1 + -1

Combine like terms: 14 + -1 = 13
13 + -3y + 15y2 = 1 + -1

Combine like terms: 1 + -1 = 0
13 + -3y + 15y2 = 0

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

Divide each side by '15'.
0.8666666667 + -0.2y + y2 = 0

Move the constant term to the right:

Add '-0.8666666667' to each side of the equation.
0.8666666667 + -0.2y + -0.8666666667 + y2 = 0 + -0.8666666667

Reorder the terms:
0.8666666667 + -0.8666666667 + -0.2y + y2 = 0 + -0.8666666667

Combine like terms: 0.8666666667 + -0.8666666667 = 0.0000000000
0.0000000000 + -0.2y + y2 = 0 + -0.8666666667
-0.2y + y2 = 0 + -0.8666666667

Combine like terms: 0 + -0.8666666667 = -0.8666666667
-0.2y + y2 = -0.8666666667

The y term is -0.2y.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2y + 0.01 + y2 = -0.8666666667 + 0.01

Reorder the terms:
0.01 + -0.2y + y2 = -0.8666666667 + 0.01

Combine like terms: -0.8666666667 + 0.01 = -0.8566666667
0.01 + -0.2y + y2 = -0.8566666667

Factor a perfect square on the left side:
(y + -0.1)(y + -0.1) = -0.8566666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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