Using the zero product property to find the solutions to the equation x^2 + x-30= 12

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gabbiemars12 gabbiemars12

01-05-2017
Mathematics

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Using the zero product property to find the solutions to the equation x^2 + x-30= 12

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PHDFlopper PHDFlopper · Answer 1 · 2017-05-01T02:43:10+02:00

PHDFlopper PHDFlopper

01-05-2017

first, factor x^2+x-42:
(x^2-6x)+(7x-42)
x(x-6)+7(x-6)
(x+7)(x-6)=0
solve using zero product property:
x+7=0
x=-7
x-6=0
x=6

final solutions to the equation:
x=6;x=-7

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