y=(y+8)(y+8)

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Solution for y=(y+8)(y+8) equation: 


Simplifying
y = (y + 8)(y + 8)

Reorder the terms:
y = (8 + y)(y + 8)

Reorder the terms:
y = (8 + y)(8 + y)

Multiply (8 + y) * (8 + y)
y = (8(8 + y) + y(8 + y))
y = ((8 * 8 + y * 8) + y(8 + y))
y = ((64 + 8y) + y(8 + y))
y = (64 + 8y + (8 * y + y * y))
y = (64 + 8y + (8y + y2))

Combine like terms: 8y + 8y = 16y
y = (64 + 16y + y2)

Solving
y = 64 + 16y + y2

Solving for variable 'y'.

Reorder the terms:
-64 + y + -16y + -1y2 = 64 + 16y + y2 + -64 + -16y + -1y2

Combine like terms: y + -16y = -15y
-64 + -15y + -1y2 = 64 + 16y + y2 + -64 + -16y + -1y2

Reorder the terms:
-64 + -15y + -1y2 = 64 + -64 + 16y + -16y + y2 + -1y2

Combine like terms: 64 + -64 = 0
-64 + -15y + -1y2 = 0 + 16y + -16y + y2 + -1y2
-64 + -15y + -1y2 = 16y + -16y + y2 + -1y2

Combine like terms: 16y + -16y = 0
-64 + -15y + -1y2 = 0 + y2 + -1y2
-64 + -15y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-64 + -15y + -1y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(64 + 15y + y2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(64 + 15y + y2)' equal to zero and attempt to solve:

Simplifying
64 + 15y + y2 = 0

Solving
64 + 15y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 15y + -64 + y2 = 0 + -64

Reorder the terms:
64 + -64 + 15y + y2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 15y + y2 = 0 + -64
15y + y2 = 0 + -64

Combine like terms: 0 + -64 = -64
15y + y2 = -64

The y term is 15y.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15y + 56.25 + y2 = -64 + 56.25

Reorder the terms:
56.25 + 15y + y2 = -64 + 56.25

Combine like terms: -64 + 56.25 = -7.75
56.25 + 15y + y2 = -7.75

Factor a perfect square on the left side:
(y + 7.5)(y + 7.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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