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Simplifying x2 + (-2 + 5i) * x + -7 = 0 Reorder the terms for easier multiplication: x2 + x(-2 + 5i) + -7 = 0 x2 + (-2 * x + 5i * x) + -7 = 0 Reorder the terms: x2 + (5ix + -2x) + -7 = 0 x2 + (5ix + -2x) + -7 = 0 Reorder the terms: -7 + 5ix + -2x + x2 = 0 Solving -7 + 5ix + -2x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 5ix + -2x + 7 + x2 = 0 + 7 Reorder the terms: -7 + 7 + 5ix + -2x + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5ix + -2x + x2 = 0 + 7 5ix + -2x + x2 = 0 + 7 Combine like terms: 0 + 7 = 7 5ix + -2x + x2 = 7 Add '2x' to each side of the equation. 5ix + -2x + 2x + x2 = 7 + 2x Combine like terms: -2x + 2x = 0 5ix + 0 + x2 = 7 + 2x 5ix + x2 = 7 + 2x Add '-1x2' to each side of the equation. 5ix + x2 + -1x2 = 7 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 5ix + 0 = 7 + 2x + -1x2 5ix = 7 + 2x + -1x2 Divide each side by '5x'. i = 1.4x-1 + 0.4 + -0.2x Simplifying i = 1.4x-1 + 0.4 + -0.2x Reorder the terms: i = 0.4 + 1.4x-1 + -0.2x
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