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Simplifying i + u = (1x2 + 1x + 8) + -1(4x + 1) Reorder the terms: i + u = (8 + 1x + 1x2) + -1(4x + 1) Remove parenthesis around (8 + 1x + 1x2) i + u = 8 + 1x + 1x2 + -1(4x + 1) Reorder the terms: i + u = 8 + 1x + 1x2 + -1(1 + 4x) i + u = 8 + 1x + 1x2 + (1 * -1 + 4x * -1) i + u = 8 + 1x + 1x2 + (-1 + -4x) Reorder the terms: i + u = 8 + -1 + 1x + -4x + 1x2 Combine like terms: 8 + -1 = 7 i + u = 7 + 1x + -4x + 1x2 Combine like terms: 1x + -4x = -3x i + u = 7 + -3x + 1x2 Solving i + u = 7 + -3x + 1x2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1u' to each side of the equation. i + u + -1u = 7 + -3x + -1u + 1x2 Combine like terms: u + -1u = 0 i + 0 = 7 + -3x + -1u + 1x2 i = 7 + -3x + -1u + 1x2 Reorder the terms: i = 7 + -1u + -3x + 1x2 Simplifying i = 7 + -1u + -3x + 1x2
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