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Simplifying -3(4i)(4 + -7i) = 0 Remove parenthesis around (4i) -3 * 4i(4 + -7i) = 0 Multiply -3 * 4 -12i(4 + -7i) = 0 (4 * -12i + -7i * -12i) = 0 (-48i + 84i2) = 0 Solving -48i + 84i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '12i'. 12i(-4 + 7i) = 0 Ignore the factor 12.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 + 7i)' equal to zero and attempt to solve: Simplifying -4 + 7i = 0 Solving -4 + 7i = 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 + 7i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7i = 0 + 4 7i = 0 + 4 Combine like terms: 0 + 4 = 4 7i = 4 Divide each side by '7'. i = 0.5714285714 Simplifying i = 0.5714285714Solution
i = {0, 0.5714285714}
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