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Simplifying 4(8i)(-3 + 7i) = 0 Remove parenthesis around (8i) 4 * 8i(-3 + 7i) = 0 Multiply 4 * 8 32i(-3 + 7i) = 0 (-3 * 32i + 7i * 32i) = 0 (-96i + 224i2) = 0 Solving -96i + 224i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '32i'. 32i(-3 + 7i) = 0 Ignore the factor 32.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 '(-3 + 7i)' equal to zero and attempt to solve: Simplifying -3 + 7i = 0 Solving -3 + 7i = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7i = 0 + 3 7i = 0 + 3 Combine like terms: 0 + 3 = 3 7i = 3 Divide each side by '7'. i = 0.4285714286 Simplifying i = 0.4285714286Solution
i = {0, 0.4285714286}
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