3x^16=48

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Solution for 3x^16=48 equation:


Simplifying
3x16 = 48

Solving
3x16 = 48

Solving for variable 'x'.

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

Divide each side by '3'.
x16 = 16

Simplifying
x16 = 16

Reorder the terms:
-16 + x16 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + x16 = 0

Factor a difference between two squares.
(4 + x8)(-4 + x8) = 0

Factor a difference between two squares.
(4 + x8)((2 + x4)(-2 + x4)) = 0

Subproblem 1

Set the factor '(4 + x8)' equal to zero and attempt to solve: Simplifying 4 + x8 = 0 Solving 4 + x8 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x8 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x8 = 0 + -4 x8 = 0 + -4 Combine like terms: 0 + -4 = -4 x8 = -4 Simplifying x8 = -4 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 '(2 + x4)' equal to zero and attempt to solve: Simplifying 2 + x4 = 0 Solving 2 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x4 = 0 + -2 x4 = 0 + -2 Combine like terms: 0 + -2 = -2 x4 = -2 Simplifying x4 = -2 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 + x4)' equal to zero and attempt to solve: Simplifying -2 + x4 = 0 Solving -2 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x4 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x4 = 0 + 2 x4 = 0 + 2 Combine like terms: 0 + 2 = 2 x4 = 2 Simplifying x4 = 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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