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Simplifying 5i(4 + -7i) = 0 (4 * 5i + -7i * 5i) = 0 (20i + -35i2) = 0 Solving 20i + -35i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '5i'. 5i(4 + -7i) = 0 Ignore the factor 5.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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