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Simplifying x2 + 4ix + 21 = 0 Reorder the terms: 21 + 4ix + x2 = 0 Solving 21 + 4ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 4ix + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + 4ix + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 4ix + x2 = 0 + -21 4ix + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 4ix + x2 = -21 Add '-1x2' to each side of the equation. 4ix + x2 + -1x2 = -21 + -1x2 Combine like terms: x2 + -1x2 = 0 4ix + 0 = -21 + -1x2 4ix = -21 + -1x2 Divide each side by '4x'. i = -5.25x-1 + -0.25x Simplifying i = -5.25x-1 + -0.25x
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