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Simplifying -3i(4 + -5i) = 0 (4 * -3i + -5i * -3i) = 0 (-12i + 15i2) = 0 Solving -12i + 15i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '3i'. 3i(-4 + 5i) = 0 Ignore the factor 3.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 + 5i)' equal to zero and attempt to solve: Simplifying -4 + 5i = 0 Solving -4 + 5i = 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 + 5i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5i = 0 + 4 5i = 0 + 4 Combine like terms: 0 + 4 = 4 5i = 4 Divide each side by '5'. i = 0.8 Simplifying i = 0.8Solution
i = {0, 0.8}
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