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Simplifying x2 + -1(7 + -1I) * x + (18 + -1I) = 0 Reorder the terms for easier multiplication: x2 + -1x(7 + -1I) + (18 + -1I) = 0 x2 + (7 * -1x + -1I * -1x) + (18 + -1I) = 0 x2 + (-7x + 1xI) + (18 + -1I) = 0 Remove parenthesis around (18 + -1I) x2 + -7x + 1xI + 18 + -1I = 0 Reorder the terms: 18 + -1I + -7x + 1xI + x2 = 0 Solving 18 + -1I + -7x + 1xI + x2 = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -1I + -7x + 1xI + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -1I + -7x + 1xI + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1I + -7x + 1xI + x2 = 0 + -18 -1I + -7x + 1xI + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -1I + -7x + 1xI + x2 = -18 Add '7x' to each side of the equation. -1I + -7x + 1xI + 7x + x2 = -18 + 7x Reorder the terms: -1I + -7x + 7x + 1xI + x2 = -18 + 7x Combine like terms: -7x + 7x = 0 -1I + 0 + 1xI + x2 = -18 + 7x -1I + 1xI + x2 = -18 + 7x Add '-1x2' to each side of the equation. -1I + 1xI + x2 + -1x2 = -18 + 7x + -1x2 Combine like terms: x2 + -1x2 = 0 -1I + 1xI + 0 = -18 + 7x + -1x2 -1I + 1xI = -18 + 7x + -1x2 Reorder the terms: 18 + -1I + -7x + 1xI + x2 = -18 + 7x + -1x2 + 18 + -7x + x2 Reorder the terms: 18 + -1I + -7x + 1xI + x2 = -18 + 18 + 7x + -7x + -1x2 + x2 Combine like terms: -18 + 18 = 0 18 + -1I + -7x + 1xI + x2 = 0 + 7x + -7x + -1x2 + x2 18 + -1I + -7x + 1xI + x2 = 7x + -7x + -1x2 + x2 Combine like terms: 7x + -7x = 0 18 + -1I + -7x + 1xI + x2 = 0 + -1x2 + x2 18 + -1I + -7x + 1xI + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 18 + -1I + -7x + 1xI + x2 = 0 The solution to this equation could not be determined.
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