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Simplifying -7i(6i + -3) = 0 Reorder the terms: -7i(-3 + 6i) = 0 (-3 * -7i + 6i * -7i) = 0 (21i + -42i2) = 0 Solving 21i + -42i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '21i'. 21i(1 + -2i) = 0 Ignore the factor 21.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 '(1 + -2i)' equal to zero and attempt to solve: Simplifying 1 + -2i = 0 Solving 1 + -2i = 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 + -2i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2i = 0 + -1 -2i = 0 + -1 Combine like terms: 0 + -1 = -1 -2i = -1 Divide each side by '-2'. i = 0.5 Simplifying i = 0.5Solution
i = {0, 0.5}
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