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Simplifying x2 + (i + -6) * x + 10 = 0 Reorder the terms: x2 + (-6 + i) * x + 10 = 0 Reorder the terms for easier multiplication: x2 + x(-6 + i) + 10 = 0 x2 + (-6 * x + i * x) + 10 = 0 Reorder the terms: x2 + (ix + -6x) + 10 = 0 x2 + (ix + -6x) + 10 = 0 Reorder the terms: 10 + ix + -6x + x2 = 0 Solving 10 + ix + -6x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + ix + -6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + ix + -6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + ix + -6x + x2 = 0 + -10 ix + -6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 ix + -6x + x2 = -10 Add '6x' to each side of the equation. ix + -6x + 6x + x2 = -10 + 6x Combine like terms: -6x + 6x = 0 ix + 0 + x2 = -10 + 6x ix + x2 = -10 + 6x Add '-1x2' to each side of the equation. ix + x2 + -1x2 = -10 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 ix + 0 = -10 + 6x + -1x2 ix = -10 + 6x + -1x2 Divide each side by 'x'. i = -10x-1 + 6 + -1x Simplifying i = -10x-1 + 6 + -1x Reorder the terms: i = 6 + -10x-1 + -1x
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