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Simplifying X2 + -1(X + I) * X + I = 0 Reorder the terms: X2 + -1(I + X) * X + I = 0 Reorder the terms for easier multiplication: X2 + -1X(I + X) + I = 0 X2 + (I * -1X + X * -1X) + I = 0 X2 + (-1IX + -1X2) + I = 0 Reorder the terms: I + -1IX + X2 + -1X2 = 0 Combine like terms: X2 + -1X2 = 0 I + -1IX + 0 = 0 I + -1IX = 0 Solving I + -1IX = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'I'. I(1 + -1X) = 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 '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 0 Move all terms containing I to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Add 'X' to each side of the equation. -1X + X = -1 + X Combine like terms: -1X + X = 0 0 = -1 + X Simplifying 0 = -1 + X 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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