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Simplifying (3I)(-9 + -7i)(-11 + 10I) = 0 Remove parenthesis around (3I) 3I(-9 + -7i)(-11 + 10I) = 0 Multiply (-9 + -7i) * (-11 + 10I) 3I(-9(-11 + 10I) + -7i * (-11 + 10I)) = 0 3I((-11 * -9 + 10I * -9) + -7i * (-11 + 10I)) = 0 3I((99 + -90I) + -7i * (-11 + 10I)) = 0 3I(99 + -90I + (-11 * -7i + 10I * -7i)) = 0 3I(99 + -90I + (77i + -70iI)) = 0 3I(99 + -90I + 77i + -70iI) = 0 (99 * 3I + -90I * 3I + 77i * 3I + -70iI * 3I) = 0 (297I + -270I2 + 231iI + -210iI2) = 0 Solving 297I + -270I2 + 231iI + -210iI2 = 0 Solving for variable 'I'. Factor out the Greatest Common Factor (GCF), '3I'. 3I(99 + -90I + 77i + -70iI) = 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 '(99 + -90I + 77i + -70iI)' equal to zero and attempt to solve: Simplifying 99 + -90I + 77i + -70iI = 0 Solving 99 + -90I + 77i + -70iI = 0 Move all terms containing I to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -90I + 77i + -99 + -70iI = 0 + -99 Reorder the terms: 99 + -99 + -90I + 77i + -70iI = 0 + -99 Combine like terms: 99 + -99 = 0 0 + -90I + 77i + -70iI = 0 + -99 -90I + 77i + -70iI = 0 + -99 Combine like terms: 0 + -99 = -99 -90I + 77i + -70iI = -99 Add '-77i' to each side of the equation. -90I + 77i + -77i + -70iI = -99 + -77i Combine like terms: 77i + -77i = 0 -90I + 0 + -70iI = -99 + -77i -90I + -70iI = -99 + -77i 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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