3x^8-3=

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Solution for 3x^8-3= equation:


Simplifying
3x8 + -3 = 0

Reorder the terms:
-3 + 3x8 = 0

Solving
-3 + 3x8 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 3x8 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3x8 = 0 + 3
3x8 = 0 + 3

Combine like terms: 0 + 3 = 3
3x8 = 3

Divide each side by '3'.
x8 = 1

Simplifying
x8 = 1

Reorder the terms:
-1 + x8 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + x8 = 0

Factor a difference between two squares.
(1 + x4)(-1 + x4) = 0

Factor a difference between two squares.
(1 + x4)((1 + x2)(-1 + x2)) = 0

Factor a difference between two squares.
(1 + x4)((1 + x2)((1 + x)(-1 + x))) = 0

Subproblem 1

Set the factor '(1 + x4)' equal to zero and attempt to solve: Simplifying 1 + x4 = 0 Solving 1 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x4 = 0 + -1 x4 = 0 + -1 Combine like terms: 0 + -1 = -1 x4 = -1 Simplifying x4 = -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 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 4

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

Solution

x = {-1, 1}

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