9r^8-9=

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Solution for 9r^8-9= equation:


Simplifying
9r8 + -9 = 0

Reorder the terms:
-9 + 9r8 = 0

Solving
-9 + 9r8 = 0

Solving for variable 'r'.

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

Add '9' to each side of the equation.
-9 + 9 + 9r8 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 9r8 = 0 + 9
9r8 = 0 + 9

Combine like terms: 0 + 9 = 9
9r8 = 9

Divide each side by '9'.
r8 = 1

Simplifying
r8 = 1

Reorder the terms:
-1 + r8 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + r8 = 0

Factor a difference between two squares.
(1 + r4)(-1 + r4) = 0

Factor a difference between two squares.
(1 + r4)((1 + r2)(-1 + r2)) = 0

Factor a difference between two squares.
(1 + r4)((1 + r2)((1 + r)(-1 + r))) = 0

Subproblem 1

Set the factor '(1 + r4)' equal to zero and attempt to solve: Simplifying 1 + r4 = 0 Solving 1 + r4 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r4 = 0 + -1 r4 = 0 + -1 Combine like terms: 0 + -1 = -1 r4 = -1 Simplifying r4 = -1 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 '(1 + r2)' equal to zero and attempt to solve: Simplifying 1 + r2 = 0 Solving 1 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r2 = 0 + -1 r2 = 0 + -1 Combine like terms: 0 + -1 = -1 r2 = -1 Simplifying r2 = -1 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 '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1

Subproblem 4

Set the factor '(-1 + r)' equal to zero and attempt to solve: Simplifying -1 + r = 0 Solving -1 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + r = 0 + 1 r = 0 + 1 Combine like terms: 0 + 1 = 1 r = 1 Simplifying r = 1

Solution

r = {-1, 1}

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