5y^8-125=0

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Solution for 5y^8-125=0 equation:


Simplifying
5y8 + -125 = 0

Reorder the terms:
-125 + 5y8 = 0

Solving
-125 + 5y8 = 0

Solving for variable 'y'.

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

Add '125' to each side of the equation.
-125 + 125 + 5y8 = 0 + 125

Combine like terms: -125 + 125 = 0
0 + 5y8 = 0 + 125
5y8 = 0 + 125

Combine like terms: 0 + 125 = 125
5y8 = 125

Divide each side by '5'.
y8 = 25

Simplifying
y8 = 25

Reorder the terms:
-25 + y8 = 25 + -25

Combine like terms: 25 + -25 = 0
-25 + y8 = 0

Factor a difference between two squares.
(5 + y4)(-5 + y4) = 0

Subproblem 1

Set the factor '(5 + y4)' equal to zero and attempt to solve: Simplifying 5 + y4 = 0 Solving 5 + y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y4 = 0 + -5 y4 = 0 + -5 Combine like terms: 0 + -5 = -5 y4 = -5 Simplifying y4 = -5 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 '(-5 + y4)' equal to zero and attempt to solve: Simplifying -5 + y4 = 0 Solving -5 + y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y4 = 0 + 5 y4 = 0 + 5 Combine like terms: 0 + 5 = 5 y4 = 5 Simplifying y4 = 5 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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