Using the zero product property you can set each expression equal to 0 (or factor for some of them) All you have to do is set them equal to zero and simplify to solve for x
a. (x+13)=0 x= -13 (x-7)=0 x=7
b. (2x+3)=0 x=-3/2 (3x-7)=0 x=7/3
c. x=0 (x-3)=0 x=3
d. [tex] x^{2} -5x=0
[/tex] needs to be factored factor out an x to get: x(x-5) and set each equal to 0 x = 0 (x-5)=0 x=5
e. [tex] x^{2} -2x-35=0
[/tex] also needs to be factored (x-7)(x+5)=0 (x-7)=0 (x+5)=0 x=7 x=-5
f. [tex]3x^{2} +14x-5=0[/tex] Also needs to be factored using the ac method: [tex]3 x^{2} +15x-x-5[/tex] [tex]3 x^{2} (x+5)-1(x+5)[/tex] [tex](3x-1)(x+5)=0
[/tex] (3x-1)=0 x=1/3 (x+5)=0 x=-5
I hope this helps! (if so, give brainliest please!!)
