Solving quadratic equation

Problem on how to solve a quadratic equation:

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Question:
(x + 2) / (x - 3) = 42 (x + 7)

Solution:

(x +2 ) (x + 7) = 42 (x - 3)

x² + 7x + 2x + 14 = 42x - 126

x² + 9x + 14 = 42x - 126

x² + 9x + 14 - 42x + 126 = 0

x² - 33x + 140 = 0

Using Factorization

x² - 28x - 5x + 140 = 0

Taking out common factors

x(x - 28) -5(x - 28) = 0

(x - 5) (x - 28) = 0
x -5 = 0
OR
x - 28 = 0

Either

x = 5

OR

x = 28

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