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Simplifying 4x3 + 5ix2 + 36x + 45 = 0 Reorder the terms: 45 + 5ix2 + 36x + 4x3 = 0 Solving 45 + 5ix2 + 36x + 4x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 5ix2 + 36x + -45 + 4x3 = 0 + -45 Reorder the terms: 45 + -45 + 5ix2 + 36x + 4x3 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 5ix2 + 36x + 4x3 = 0 + -45 5ix2 + 36x + 4x3 = 0 + -45 Combine like terms: 0 + -45 = -45 5ix2 + 36x + 4x3 = -45 Add '-36x' to each side of the equation. 5ix2 + 36x + -36x + 4x3 = -45 + -36x Combine like terms: 36x + -36x = 0 5ix2 + 0 + 4x3 = -45 + -36x 5ix2 + 4x3 = -45 + -36x Add '-4x3' to each side of the equation. 5ix2 + 4x3 + -4x3 = -45 + -36x + -4x3 Combine like terms: 4x3 + -4x3 = 0 5ix2 + 0 = -45 + -36x + -4x3 5ix2 = -45 + -36x + -4x3 Divide each side by '5x2'. i = -9x-2 + -7.2x-1 + -0.8x Simplifying i = -9x-2 + -7.2x-1 + -0.8x
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