y^6-5=4

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Solution for y^6-5=4 equation:


Simplifying
y6 + -5 = 4

Reorder the terms:
-5 + y6 = 4

Solving
-5 + y6 = 4

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y6 = 4 + 5

Combine like terms: -5 + 5 = 0
0 + y6 = 4 + 5
y6 = 4 + 5

Combine like terms: 4 + 5 = 9
y6 = 9

Simplifying
y6 = 9

Reorder the terms:
-9 + y6 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + y6 = 0

Factor a difference between two squares.
(3 + y3)(-3 + y3) = 0

Subproblem 1

Set the factor '(3 + y3)' equal to zero and attempt to solve: Simplifying 3 + y3 = 0 Solving 3 + y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y3 = 0 + -3 y3 = 0 + -3 Combine like terms: 0 + -3 = -3 y3 = -3 Simplifying y3 = -3 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 '(-3 + y3)' equal to zero and attempt to solve: Simplifying -3 + y3 = 0 Solving -3 + y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y3 = 0 + 3 y3 = 0 + 3 Combine like terms: 0 + 3 = 3 y3 = 3 Simplifying y3 = 3 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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