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Simplifying I(6 + -1I)(5 + 2i) = 0 Multiply (6 + -1I) * (5 + 2i) I(6(5 + 2i) + -1I * (5 + 2i)) = 0 I((5 * 6 + 2i * 6) + -1I * (5 + 2i)) = 0 I((30 + 12i) + -1I * (5 + 2i)) = 0 I(30 + 12i + (5 * -1I + 2i * -1I)) = 0 I(30 + 12i + (-5I + -2iI)) = 0 Reorder the terms: I(30 + -5I + 12i + -2iI) = 0 I(30 + -5I + 12i + -2iI) = 0 (30 * I + -5I * I + 12i * I + -2iI * I) = 0 (30I + -5I2 + 12iI + -2iI2) = 0 Solving 30I + -5I2 + 12iI + -2iI2 = 0 Solving for variable 'I'. Factor out the Greatest Common Factor (GCF), 'I'. I(30 + -5I + 12i + -2iI) = 0Subproblem 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 '(30 + -5I + 12i + -2iI)' equal to zero and attempt to solve: Simplifying 30 + -5I + 12i + -2iI = 0 Solving 30 + -5I + 12i + -2iI = 0 Move all terms containing I to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -5I + 12i + -30 + -2iI = 0 + -30 Reorder the terms: 30 + -30 + -5I + 12i + -2iI = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5I + 12i + -2iI = 0 + -30 -5I + 12i + -2iI = 0 + -30 Combine like terms: 0 + -30 = -30 -5I + 12i + -2iI = -30 Add '-12i' to each side of the equation. -5I + 12i + -12i + -2iI = -30 + -12i Combine like terms: 12i + -12i = 0 -5I + 0 + -2iI = -30 + -12i -5I + -2iI = -30 + -12i The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
I = {0}
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