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Simplifying x2 + (3m + 6) * x + 18m = 0 Reorder the terms: x2 + (6 + 3m) * x + 18m = 0 Reorder the terms for easier multiplication: x2 + x(6 + 3m) + 18m = 0 x2 + (6 * x + 3m * x) + 18m = 0 Reorder the terms: x2 + (3mx + 6x) + 18m = 0 x2 + (3mx + 6x) + 18m = 0 Reorder the terms: 18m + 3mx + 6x + x2 = 0 Solving 18m + 3mx + 6x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6x' to each side of the equation. 18m + 3mx + 6x + -6x + x2 = 0 + -6x Combine like terms: 6x + -6x = 0 18m + 3mx + 0 + x2 = 0 + -6x 18m + 3mx + x2 = 0 + -6x Remove the zero: 18m + 3mx + x2 = -6x Add '-1x2' to each side of the equation. 18m + 3mx + x2 + -1x2 = -6x + -1x2 Combine like terms: x2 + -1x2 = 0 18m + 3mx + 0 = -6x + -1x2 18m + 3mx = -6x + -1x2 Reorder the terms: 18m + 3mx + 6x + x2 = -6x + 6x + -1x2 + x2 Combine like terms: -6x + 6x = 0 18m + 3mx + 6x + x2 = 0 + -1x2 + x2 18m + 3mx + 6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 18m + 3mx + 6x + x2 = 0 The solution to this equation could not be determined.
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