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Simplifying 2x2 + (5 + -9i) * x + -14 = 0 Reorder the terms for easier multiplication: 2x2 + x(5 + -9i) + -14 = 0 2x2 + (5 * x + -9i * x) + -14 = 0 Reorder the terms: 2x2 + (-9ix + 5x) + -14 = 0 2x2 + (-9ix + 5x) + -14 = 0 Reorder the terms: -14 + -9ix + 5x + 2x2 = 0 Solving -14 + -9ix + 5x + 2x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -9ix + 5x + 14 + 2x2 = 0 + 14 Reorder the terms: -14 + 14 + -9ix + 5x + 2x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -9ix + 5x + 2x2 = 0 + 14 -9ix + 5x + 2x2 = 0 + 14 Combine like terms: 0 + 14 = 14 -9ix + 5x + 2x2 = 14 Add '-5x' to each side of the equation. -9ix + 5x + -5x + 2x2 = 14 + -5x Combine like terms: 5x + -5x = 0 -9ix + 0 + 2x2 = 14 + -5x -9ix + 2x2 = 14 + -5x Add '-2x2' to each side of the equation. -9ix + 2x2 + -2x2 = 14 + -5x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -9ix + 0 = 14 + -5x + -2x2 -9ix = 14 + -5x + -2x2 Divide each side by '-9x'. i = -1.555555556x-1 + 0.5555555556 + 0.2222222222x Simplifying i = -1.555555556x-1 + 0.5555555556 + 0.2222222222x Reorder the terms: i = 0.5555555556 + -1.555555556x-1 + 0.2222222222x
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