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Simplifying 7i(8 + -2i) = 0 (8 * 7i + -2i * 7i) = 0 (56i + -14i2) = 0 Solving 56i + -14i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '14i'. 14i(4 + -1i) = 0 Ignore the factor 14.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 '(4 + -1i)' equal to zero and attempt to solve: Simplifying 4 + -1i = 0 Solving 4 + -1i = 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 + -1i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1i = 0 + -4 -1i = 0 + -4 Combine like terms: 0 + -4 = -4 -1i = -4 Divide each side by '-1'. i = 4 Simplifying i = 4Solution
i = {0, 4}
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