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Simplifying (x + 4)(x + 5) = Ax2 + Bx + C Reorder the terms: (4 + x)(x + 5) = Ax2 + Bx + C Reorder the terms: (4 + x)(5 + x) = Ax2 + Bx + C Multiply (4 + x) * (5 + x) (4(5 + x) + x(5 + x)) = Ax2 + Bx + C ((5 * 4 + x * 4) + x(5 + x)) = Ax2 + Bx + C ((20 + 4x) + x(5 + x)) = Ax2 + Bx + C (20 + 4x + (5 * x + x * x)) = Ax2 + Bx + C (20 + 4x + (5x + x2)) = Ax2 + Bx + C Combine like terms: 4x + 5x = 9x (20 + 9x + x2) = Ax2 + Bx + C Reorder the terms: 20 + 9x + x2 = C + xB + x2A Solving 20 + 9x + x2 = C + xB + x2A Solving for variable 'x'. Reorder the terms: 20 + -1C + 9x + -1xB + x2 + -1x2A = C + xB + x2A + -1C + -1xB + -1x2A Reorder the terms: 20 + -1C + 9x + -1xB + x2 + -1x2A = C + -1C + xB + -1xB + x2A + -1x2A Combine like terms: C + -1C = 0 20 + -1C + 9x + -1xB + x2 + -1x2A = 0 + xB + -1xB + x2A + -1x2A 20 + -1C + 9x + -1xB + x2 + -1x2A = xB + -1xB + x2A + -1x2A Combine like terms: xB + -1xB = 0 20 + -1C + 9x + -1xB + x2 + -1x2A = 0 + x2A + -1x2A 20 + -1C + 9x + -1xB + x2 + -1x2A = x2A + -1x2A Combine like terms: x2A + -1x2A = 0 20 + -1C + 9x + -1xB + x2 + -1x2A = 0 The solution to this equation could not be determined.
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