SOLUTION: How would you solve the following equation by factoring and applying the Zero-Product Property? {{{15x^2=7x+2}}}

SOLUTION: How would you solve the following equation by factoring and applying the Zero-Product Property? {{{15x^2=7x+2}}}

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Question 165785: How would you solve the following equation by factoring and applying the Zero-Product Property?

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
15x^2=7x+2
15x^2-7x-2=0
(5x+1)(3x-2)=0
5x+1=0
5x=-1
x=-1/5 answer.
3x-2=0
3x=2
x=2/3 answer.
Proofs:
15*-1/5^2=7*-1/5+2
15*1/25=-7/5+2
15/25=(-7+2*5)/5
3/5=(-7+10)/5
3/5=3/5
15^2/3^2=7*2/3+2
15*4/9=14/3+2
60/9=(14+2*3)/3
20/3=(14+6)/3
20/3=20/3

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