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Simplifying -6i3 + i2 = 0 Reorder the terms: i2 + -6i3 = 0 Solving i2 + -6i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), 'i2'. i2(1 + -6i) = 0Subproblem 1
Set the factor 'i2' equal to zero and attempt to solve: Simplifying i2 = 0 Solving i2 = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i2 = 0 Take the square root of each side: i = {0}Subproblem 2
Set the factor '(1 + -6i)' equal to zero and attempt to solve: Simplifying 1 + -6i = 0 Solving 1 + -6i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6i = 0 + -1 -6i = 0 + -1 Combine like terms: 0 + -1 = -1 -6i = -1 Divide each side by '-6'. i = 0.1666666667 Simplifying i = 0.1666666667Solution
i = {0, 0.1666666667}
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