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Simplifying (cx + b)(bx + c) = 10x2 + ax + 10 Reorder the terms: (b + cx)(bx + c) = 10x2 + ax + 10 Multiply (b + cx) * (bx + c) (b(bx + c) + cx(bx + c)) = 10x2 + ax + 10 ((bx * b + c * b) + cx(bx + c)) = 10x2 + ax + 10 Reorder the terms: ((bc + b2x) + cx(bx + c)) = 10x2 + ax + 10 ((bc + b2x) + cx(bx + c)) = 10x2 + ax + 10 (bc + b2x + (bx * cx + c * cx)) = 10x2 + ax + 10 (bc + b2x + (bcx2 + c2x)) = 10x2 + ax + 10 Reorder the terms: (bc + bcx2 + b2x + c2x) = 10x2 + ax + 10 (bc + bcx2 + b2x + c2x) = 10x2 + ax + 10 Reorder the terms: bc + bcx2 + b2x + c2x = 10 + ax + 10x2 Solving bc + bcx2 + b2x + c2x = 10 + ax + 10x2 Solving for variable 'b'. Reorder the terms: -10 + -1ax + bc + bcx2 + b2x + c2x + -10x2 = 10 + ax + 10x2 + -10 + -1ax + -10x2 Reorder the terms: -10 + -1ax + bc + bcx2 + b2x + c2x + -10x2 = 10 + -10 + ax + -1ax + 10x2 + -10x2 Combine like terms: 10 + -10 = 0 -10 + -1ax + bc + bcx2 + b2x + c2x + -10x2 = 0 + ax + -1ax + 10x2 + -10x2 -10 + -1ax + bc + bcx2 + b2x + c2x + -10x2 = ax + -1ax + 10x2 + -10x2 Combine like terms: ax + -1ax = 0 -10 + -1ax + bc + bcx2 + b2x + c2x + -10x2 = 0 + 10x2 + -10x2 -10 + -1ax + bc + bcx2 + b2x + c2x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -10 + -1ax + bc + bcx2 + b2x + c2x + -10x2 = 0 The solution to this equation could not be determined.
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