8i^3-3i^5=0

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Solution for 8i^3-3i^5=0 equation:


Simplifying
8i3 + -3i5 = 0

Solving
8i3 + -3i5 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'i3'.
i3(8 + -3i2) = 0

Subproblem 1

Set the factor 'i3' equal to zero and attempt to solve: Simplifying i3 = 0 Solving i3 = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i3 = 0 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 '(8 + -3i2)' equal to zero and attempt to solve: Simplifying 8 + -3i2 = 0 Solving 8 + -3i2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3i2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3i2 = 0 + -8 -3i2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3i2 = -8 Divide each side by '-3'. i2 = 2.666666667 Simplifying i2 = 2.666666667 Take the square root of each side: i = {-1.632993162, 1.632993162}

Solution

i = {-1.632993162, 1.632993162}

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