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Simplifying (x + 5)(x + -3) = ax2 + bx + -1c Reorder the terms: (5 + x)(x + -3) = ax2 + bx + -1c Reorder the terms: (5 + x)(-3 + x) = ax2 + bx + -1c Multiply (5 + x) * (-3 + x) (5(-3 + x) + x(-3 + x)) = ax2 + bx + -1c ((-3 * 5 + x * 5) + x(-3 + x)) = ax2 + bx + -1c ((-15 + 5x) + x(-3 + x)) = ax2 + bx + -1c (-15 + 5x + (-3 * x + x * x)) = ax2 + bx + -1c (-15 + 5x + (-3x + x2)) = ax2 + bx + -1c Combine like terms: 5x + -3x = 2x (-15 + 2x + x2) = ax2 + bx + -1c Solving -15 + 2x + x2 = ax2 + bx + -1c Solving for variable 'x'. Reorder the terms: -15 + -1ax2 + -1bx + c + 2x + x2 = ax2 + bx + -1c + -1ax2 + -1bx + c Reorder the terms: -15 + -1ax2 + -1bx + c + 2x + x2 = ax2 + -1ax2 + bx + -1bx + -1c + c Combine like terms: ax2 + -1ax2 = 0 -15 + -1ax2 + -1bx + c + 2x + x2 = 0 + bx + -1bx + -1c + c -15 + -1ax2 + -1bx + c + 2x + x2 = bx + -1bx + -1c + c Combine like terms: bx + -1bx = 0 -15 + -1ax2 + -1bx + c + 2x + x2 = 0 + -1c + c -15 + -1ax2 + -1bx + c + 2x + x2 = -1c + c Combine like terms: -1c + c = 0 -15 + -1ax2 + -1bx + c + 2x + x2 = 0 The solution to this equation could not be determined.
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