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**Solve the following equation:**

(x - 5)(x + 3) = (x - 7)(x + 4)

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#### Solution

(x - 5) (x + 3) = (x - 7)(x + 4)

⇒ x^{2} + 3x - 5x - 15 = x^{2} + 4x - 7x - 28

⇒ -2x - 15 = - 3x - 28

⇒ 3x - 2x = 15 - 28

⇒ x = -13

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