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Simplifying (2x + 5)(-1mx + 9) = 0 Reorder the terms: (5 + 2x)(-1mx + 9) = 0 Reorder the terms: (5 + 2x)(9 + -1mx) = 0 Multiply (5 + 2x) * (9 + -1mx) (5(9 + -1mx) + 2x * (9 + -1mx)) = 0 ((9 * 5 + -1mx * 5) + 2x * (9 + -1mx)) = 0 ((45 + -5mx) + 2x * (9 + -1mx)) = 0 (45 + -5mx + (9 * 2x + -1mx * 2x)) = 0 Reorder the terms: (45 + -5mx + (-2mx2 + 18x)) = 0 (45 + -5mx + (-2mx2 + 18x)) = 0 (45 + -5mx + -2mx2 + 18x) = 0 Solving 45 + -5mx + -2mx2 + 18x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -5mx + -2mx2 + -45 + 18x = 0 + -45 Reorder the terms: 45 + -45 + -5mx + -2mx2 + 18x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -5mx + -2mx2 + 18x = 0 + -45 -5mx + -2mx2 + 18x = 0 + -45 Combine like terms: 0 + -45 = -45 -5mx + -2mx2 + 18x = -45 Add '-18x' to each side of the equation. -5mx + -2mx2 + 18x + -18x = -45 + -18x Combine like terms: 18x + -18x = 0 -5mx + -2mx2 + 0 = -45 + -18x -5mx + -2mx2 = -45 + -18x Reorder the terms: 45 + -5mx + -2mx2 + 18x = -45 + -18x + 45 + 18x Reorder the terms: 45 + -5mx + -2mx2 + 18x = -45 + 45 + -18x + 18x Combine like terms: -45 + 45 = 0 45 + -5mx + -2mx2 + 18x = 0 + -18x + 18x 45 + -5mx + -2mx2 + 18x = -18x + 18x Combine like terms: -18x + 18x = 0 45 + -5mx + -2mx2 + 18x = 0 The solution to this equation could not be determined.
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