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Simplifying (2x + 1)(9x + b) = 6x2 + -5x + c Reorder the terms: (1 + 2x)(9x + b) = 6x2 + -5x + c Reorder the terms: (1 + 2x)(b + 9x) = 6x2 + -5x + c Multiply (1 + 2x) * (b + 9x) (1(b + 9x) + 2x * (b + 9x)) = 6x2 + -5x + c ((b * 1 + 9x * 1) + 2x * (b + 9x)) = 6x2 + -5x + c ((1b + 9x) + 2x * (b + 9x)) = 6x2 + -5x + c (1b + 9x + (b * 2x + 9x * 2x)) = 6x2 + -5x + c (1b + 9x + (2bx + 18x2)) = 6x2 + -5x + c Reorder the terms: (1b + 2bx + 9x + 18x2) = 6x2 + -5x + c (1b + 2bx + 9x + 18x2) = 6x2 + -5x + c Reorder the terms: 1b + 2bx + 9x + 18x2 = c + -5x + 6x2 Solving 1b + 2bx + 9x + 18x2 = c + -5x + 6x2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9x' to each side of the equation. 1b + 2bx + 9x + -9x + 18x2 = c + -5x + -9x + 6x2 Combine like terms: 9x + -9x = 0 1b + 2bx + 0 + 18x2 = c + -5x + -9x + 6x2 1b + 2bx + 18x2 = c + -5x + -9x + 6x2 Combine like terms: -5x + -9x = -14x 1b + 2bx + 18x2 = c + -14x + 6x2 Add '-18x2' to each side of the equation. 1b + 2bx + 18x2 + -18x2 = c + -14x + 6x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 1b + 2bx + 0 = c + -14x + 6x2 + -18x2 1b + 2bx = c + -14x + 6x2 + -18x2 Combine like terms: 6x2 + -18x2 = -12x2 1b + 2bx = c + -14x + -12x2 Reorder the terms: 1b + 2bx + -1c + 14x + 12x2 = c + -1c + -14x + 14x + -12x2 + 12x2 Combine like terms: c + -1c = 0 1b + 2bx + -1c + 14x + 12x2 = 0 + -14x + 14x + -12x2 + 12x2 1b + 2bx + -1c + 14x + 12x2 = -14x + 14x + -12x2 + 12x2 Combine like terms: -14x + 14x = 0 1b + 2bx + -1c + 14x + 12x2 = 0 + -12x2 + 12x2 1b + 2bx + -1c + 14x + 12x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 1b + 2bx + -1c + 14x + 12x2 = 0 The solution to this equation could not be determined.
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