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Simplifying 2ix2 + 6x + -2 + -6i = 0 Reorder the terms: -2 + -6i + 2ix2 + 6x = 0 Solving -2 + -6i + 2ix2 + 6x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -6i + 2ix2 + 2 + 6x = 0 + 2 Reorder the terms: -2 + 2 + -6i + 2ix2 + 6x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -6i + 2ix2 + 6x = 0 + 2 -6i + 2ix2 + 6x = 0 + 2 Combine like terms: 0 + 2 = 2 -6i + 2ix2 + 6x = 2 Add '-6x' to each side of the equation. -6i + 2ix2 + 6x + -6x = 2 + -6x Combine like terms: 6x + -6x = 0 -6i + 2ix2 + 0 = 2 + -6x -6i + 2ix2 = 2 + -6x Reorder the terms: -2 + -6i + 2ix2 + 6x = 2 + -6x + -2 + 6x Reorder the terms: -2 + -6i + 2ix2 + 6x = 2 + -2 + -6x + 6x Combine like terms: 2 + -2 = 0 -2 + -6i + 2ix2 + 6x = 0 + -6x + 6x -2 + -6i + 2ix2 + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -2 + -6i + 2ix2 + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -3i + ix2 + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3i + ix2 + 3x)' equal to zero and attempt to solve: Simplifying -1 + -3i + ix2 + 3x = 0 Solving -1 + -3i + ix2 + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3i + ix2 + 1 + 3x = 0 + 1 Reorder the terms: -1 + 1 + -3i + ix2 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3i + ix2 + 3x = 0 + 1 -3i + ix2 + 3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3i + ix2 + 3x = 1 Add '-3x' to each side of the equation. -3i + ix2 + 3x + -3x = 1 + -3x Combine like terms: 3x + -3x = 0 -3i + ix2 + 0 = 1 + -3x -3i + ix2 = 1 + -3x 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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