y^24-256=0

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Solution for y^24-256=0 equation:


Simplifying
y24 + -256 = 0

Reorder the terms:
-256 + y24 = 0

Solving
-256 + y24 = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '256' to each side of the equation.
-256 + 256 + y24 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + y24 = 0 + 256
y24 = 0 + 256

Combine like terms: 0 + 256 = 256
y24 = 256

Simplifying
y24 = 256

Reorder the terms:
-256 + y24 = 256 + -256

Combine like terms: 256 + -256 = 0
-256 + y24 = 0

Factor a difference between two squares.
(16 + y12)(-16 + y12) = 0

Factor a difference between two squares.
(16 + y12)((4 + y6)(-4 + y6)) = 0

Factor a difference between two squares.
(16 + y12)((4 + y6)((2 + y3)(-2 + y3))) = 0

Subproblem 1

Set the factor '(16 + y12)' equal to zero and attempt to solve: Simplifying 16 + y12 = 0 Solving 16 + y12 = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + y12 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + y12 = 0 + -16 y12 = 0 + -16 Combine like terms: 0 + -16 = -16 y12 = -16 Simplifying y12 = -16 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4 + y6)' equal to zero and attempt to solve: Simplifying 4 + y6 = 0 Solving 4 + y6 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y6 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y6 = 0 + -4 y6 = 0 + -4 Combine like terms: 0 + -4 = -4 y6 = -4 Simplifying y6 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + y3)' equal to zero and attempt to solve: Simplifying 2 + y3 = 0 Solving 2 + y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y3 = 0 + -2 y3 = 0 + -2 Combine like terms: 0 + -2 = -2 y3 = -2 Simplifying y3 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 4

Set the factor '(-2 + y3)' equal to zero and attempt to solve: Simplifying -2 + y3 = 0 Solving -2 + y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y3 = 0 + 2 y3 = 0 + 2 Combine like terms: 0 + 2 = 2 y3 = 2 Simplifying y3 = 2 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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