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Simplifying 7i(8 + -3i) = 0 (8 * 7i + -3i * 7i) = 0 (56i + -21i2) = 0 Solving 56i + -21i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '7i'. 7i(8 + -3i) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 2
Set the factor '(8 + -3i)' equal to zero and attempt to solve: Simplifying 8 + -3i = 0 Solving 8 + -3i = 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 + -3i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3i = 0 + -8 -3i = 0 + -8 Combine like terms: 0 + -8 = -8 -3i = -8 Divide each side by '-3'. i = 2.666666667 Simplifying i = 2.666666667Solution
i = {0, 2.666666667}
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