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Simplifying 45 + 10i = 7 + -6ix Solving 45 + 10i = 7 + -6ix Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6ix' to each side of the equation. 45 + 10i + 6ix = 7 + -6ix + 6ix Combine like terms: -6ix + 6ix = 0 45 + 10i + 6ix = 7 + 0 45 + 10i + 6ix = 7 Add '-45' to each side of the equation. 45 + 10i + -45 + 6ix = 7 + -45 Reorder the terms: 45 + -45 + 10i + 6ix = 7 + -45 Combine like terms: 45 + -45 = 0 0 + 10i + 6ix = 7 + -45 10i + 6ix = 7 + -45 Combine like terms: 7 + -45 = -38 10i + 6ix = -38 Reorder the terms: 38 + 10i + 6ix = -38 + 38 Combine like terms: -38 + 38 = 0 38 + 10i + 6ix = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(19 + 5i + 3ix) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(19 + 5i + 3ix)' equal to zero and attempt to solve: Simplifying 19 + 5i + 3ix = 0 Solving 19 + 5i + 3ix = 0 Move all terms containing i to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 5i + -19 + 3ix = 0 + -19 Reorder the terms: 19 + -19 + 5i + 3ix = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5i + 3ix = 0 + -19 5i + 3ix = 0 + -19 Combine like terms: 0 + -19 = -19 5i + 3ix = -19 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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