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Simplifying 4x + 8 = 4xi Reorder the terms: 8 + 4x = 4xi Solving 8 + 4x = 4ix Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4ix' to each side of the equation. 8 + -4ix + 4x = 4ix + -4ix Combine like terms: 4ix + -4ix = 0 8 + -4ix + 4x = 0 Add '-8' to each side of the equation. 8 + -4ix + -8 + 4x = 0 + -8 Reorder the terms: 8 + -8 + -4ix + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4ix + 4x = 0 + -8 -4ix + 4x = 0 + -8 Combine like terms: 0 + -8 = -8 -4ix + 4x = -8 Reorder the terms: 8 + -4ix + 4x = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -4ix + 4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -1ix + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1ix + x)' equal to zero and attempt to solve: Simplifying 2 + -1ix + x = 0 Solving 2 + -1ix + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1ix + -2 + x = 0 + -2 Reorder the terms: 2 + -2 + -1ix + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ix + x = 0 + -2 -1ix + x = 0 + -2 Combine like terms: 0 + -2 = -2 -1ix + x = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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