0=-3(y-4)(y-4)-5

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Solution for 0=-3(y-4)(y-4)-5 equation: 


Simplifying
0 = -3(y + -4)(y + -4) + -5

Reorder the terms:
0 = -3(-4 + y)(y + -4) + -5

Reorder the terms:
0 = -3(-4 + y)(-4 + y) + -5

Multiply (-4 + y) * (-4 + y)
0 = -3(-4(-4 + y) + y(-4 + y)) + -5
0 = -3((-4 * -4 + y * -4) + y(-4 + y)) + -5
0 = -3((16 + -4y) + y(-4 + y)) + -5
0 = -3(16 + -4y + (-4 * y + y * y)) + -5
0 = -3(16 + -4y + (-4y + y2)) + -5

Combine like terms: -4y + -4y = -8y
0 = -3(16 + -8y + y2) + -5
0 = (16 * -3 + -8y * -3 + y2 * -3) + -5
0 = (-48 + 24y + -3y2) + -5

Reorder the terms:
0 = -48 + -5 + 24y + -3y2

Combine like terms: -48 + -5 = -53
0 = -53 + 24y + -3y2

Solving
0 = -53 + 24y + -3y2

Solving for variable 'y'.

Combine like terms: 0 + 53 = 53
53 + -24y + 3y2 = -53 + 24y + -3y2 + 53 + -24y + 3y2

Reorder the terms:
53 + -24y + 3y2 = -53 + 53 + 24y + -24y + -3y2 + 3y2

Combine like terms: -53 + 53 = 0
53 + -24y + 3y2 = 0 + 24y + -24y + -3y2 + 3y2
53 + -24y + 3y2 = 24y + -24y + -3y2 + 3y2

Combine like terms: 24y + -24y = 0
53 + -24y + 3y2 = 0 + -3y2 + 3y2
53 + -24y + 3y2 = -3y2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
53 + -24y + 3y2 = 0

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

Divide each side by '3'.
17.66666667 + -8y + y2 = 0

Move the constant term to the right:

Add '-17.66666667' to each side of the equation.
17.66666667 + -8y + -17.66666667 + y2 = 0 + -17.66666667

Reorder the terms:
17.66666667 + -17.66666667 + -8y + y2 = 0 + -17.66666667

Combine like terms: 17.66666667 + -17.66666667 = 0.00000000
0.00000000 + -8y + y2 = 0 + -17.66666667
-8y + y2 = 0 + -17.66666667

Combine like terms: 0 + -17.66666667 = -17.66666667
-8y + y2 = -17.66666667

The y term is -8y.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8y + 16 + y2 = -17.66666667 + 16

Reorder the terms:
16 + -8y + y2 = -17.66666667 + 16

Combine like terms: -17.66666667 + 16 = -1.66666667
16 + -8y + y2 = -1.66666667

Factor a perfect square on the left side:
(y + -4)(y + -4) = -1.66666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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