X^2+20x-69?

1 Answer
Karthik N
May 1, 2018

#x^2 + 20x -69 = (x + 23)(x - 3)#
#implies x = -23 or x = 3#

Explanation:

#x^2 + 20x -69 = 0#
#implies x^2 + 23x - 3x - 69#
Factoring out x and -3 respectively,
#impliesx(x + 23) -3(x+23) = 0#
Factoring out (x + 23)
#implies (x+23)(x-3) = 0#
Using the zero product rule,
#x + 23 = 0 or x - 3 = 0#
#implies x = -23 or x = 3#

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