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Simplifying 2x2 + -3ix + 1 = 0 Reorder the terms: 1 + -3ix + 2x2 = 0 Solving 1 + -3ix + 2x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3ix + -1 + 2x2 = 0 + -1 Reorder the terms: 1 + -1 + -3ix + 2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3ix + 2x2 = 0 + -1 -3ix + 2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3ix + 2x2 = -1 Add '-2x2' to each side of the equation. -3ix + 2x2 + -2x2 = -1 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3ix + 0 = -1 + -2x2 -3ix = -1 + -2x2 Divide each side by '-3x'. i = 0.3333333333x-1 + 0.6666666667x Simplifying i = 0.3333333333x-1 + 0.6666666667x
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