16=i^24

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Solution for 16=i^24 equation:


Simplifying
16 = i24

Solving
16 = i24

Solving for variable 'i'.

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

Add '-1i24' to each side of the equation.
16 + -1i24 = i24 + -1i24

Combine like terms: i24 + -1i24 = 0
16 + -1i24 = 0

Add '-16' to each side of the equation.
16 + -16 + -1i24 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1i24 = 0 + -16
-1i24 = 0 + -16

Combine like terms: 0 + -16 = -16
-1i24 = -16

Divide each side by '-1'.
i24 = 16

Simplifying
i24 = 16

Reorder the terms:
-16 + i24 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + i24 = 0

Factor a difference between two squares.
(4 + i12)(-4 + i12) = 0

Factor a difference between two squares.
(4 + i12)((2 + i6)(-2 + i6)) = 0

Subproblem 1

Set the factor '(4 + i12)' equal to zero and attempt to solve: Simplifying 4 + i12 = 0 Solving 4 + i12 = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + i12 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + i12 = 0 + -4 i12 = 0 + -4 Combine like terms: 0 + -4 = -4 i12 = -4 Simplifying i12 = -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 + i6)' equal to zero and attempt to solve: Simplifying 2 + i6 = 0 Solving 2 + i6 = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + i6 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + i6 = 0 + -2 i6 = 0 + -2 Combine like terms: 0 + -2 = -2 i6 = -2 Simplifying i6 = -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 + i6)' equal to zero and attempt to solve: Simplifying -2 + i6 = 0 Solving -2 + i6 = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + i6 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + i6 = 0 + 2 i6 = 0 + 2 Combine like terms: 0 + 2 = 2 i6 = 2 Simplifying i6 = 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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