Solve each of the following quadratic equations:

taking LCM

x^{2} + x = x + 16 cross multiplying

x^{2} - 16 = 0

x^{2} - (4)^{2} = 0 using a^{2} - b^{2} = (a + b)(a - b)

(x + 4) (x - 4) = 0

(x + 4) = 0 or (x - 4) = 0

x = 4 or x = - 4

Hence the roots of equation are 4, - 4.

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