2y^2-8y+15(y-6)(y-6)=0

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Solution for 2y^2-8y+15(y-6)(y-6)=0 equation: 


Simplifying
2y2 + -8y + 15(y + -6)(y + -6) = 0

Reorder the terms:
2y2 + -8y + 15(-6 + y)(y + -6) = 0

Reorder the terms:
2y2 + -8y + 15(-6 + y)(-6 + y) = 0

Multiply (-6 + y) * (-6 + y)
2y2 + -8y + 15(-6(-6 + y) + y(-6 + y)) = 0
2y2 + -8y + 15((-6 * -6 + y * -6) + y(-6 + y)) = 0
2y2 + -8y + 15((36 + -6y) + y(-6 + y)) = 0
2y2 + -8y + 15(36 + -6y + (-6 * y + y * y)) = 0
2y2 + -8y + 15(36 + -6y + (-6y + y2)) = 0

Combine like terms: -6y + -6y = -12y
2y2 + -8y + 15(36 + -12y + y2) = 0
2y2 + -8y + (36 * 15 + -12y * 15 + y2 * 15) = 0
2y2 + -8y + (540 + -180y + 15y2) = 0

Reorder the terms:
540 + -8y + -180y + 2y2 + 15y2 = 0

Combine like terms: -8y + -180y = -188y
540 + -188y + 2y2 + 15y2 = 0

Combine like terms: 2y2 + 15y2 = 17y2
540 + -188y + 17y2 = 0

Solving
540 + -188y + 17y2 = 0

Solving for variable 'y'.

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

Divide each side by '17'.
31.76470588 + -11.05882353y + y2 = 0

Move the constant term to the right:

Add '-31.76470588' to each side of the equation.
31.76470588 + -11.05882353y + -31.76470588 + y2 = 0 + -31.76470588

Reorder the terms:
31.76470588 + -31.76470588 + -11.05882353y + y2 = 0 + -31.76470588

Combine like terms: 31.76470588 + -31.76470588 = 0.00000000
0.00000000 + -11.05882353y + y2 = 0 + -31.76470588
-11.05882353y + y2 = 0 + -31.76470588

Combine like terms: 0 + -31.76470588 = -31.76470588
-11.05882353y + y2 = -31.76470588

The y term is -11.05882353y.  Take half its coefficient (-5.529411765).
Square it (30.57439447) and add it to both sides.

Add '30.57439447' to each side of the equation.
-11.05882353y + 30.57439447 + y2 = -31.76470588 + 30.57439447

Reorder the terms:
30.57439447 + -11.05882353y + y2 = -31.76470588 + 30.57439447

Combine like terms: -31.76470588 + 30.57439447 = -1.19031141
30.57439447 + -11.05882353y + y2 = -1.19031141

Factor a perfect square on the left side:
(y + -5.529411765)(y + -5.529411765) = -1.19031141

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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