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Simplifying 9i(2 + -1i) = 0 (2 * 9i + -1i * 9i) = 0 (18i + -9i2) = 0 Solving 18i + -9i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '9i'. 9i(2 + -1i) = 0 Ignore the factor 9.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 '(2 + -1i)' equal to zero and attempt to solve: Simplifying 2 + -1i = 0 Solving 2 + -1i = 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 + -1i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1i = 0 + -2 -1i = 0 + -2 Combine like terms: 0 + -2 = -2 -1i = -2 Divide each side by '-1'. i = 2 Simplifying i = 2Solution
i = {0, 2}
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