Question #270b3
2 Answers
Explanation:
"rearrange and equate to zero"rearrange and equate to zero
rArr7v^2+35v-42=0larrcolor(blue)"standard form"⇒7v2+35v−42=0←standard form
"take out a "color(blue)"common factor of 7"take out a common factor of 7
rArr7(v^2+5v-6)=0⇒7(v2+5v−6)=0
"the factors of - 6 which sum to + 5 are + 6 and - 1"the factors of - 6 which sum to + 5 are + 6 and - 1
rArr7(v+6)(v-1)=0⇒7(v+6)(v−1)=0
"equate each factor to zero and solve for v"equate each factor to zero and solve for v
v+6=0rArrv=-6v+6=0⇒v=−6
v-1=0rArrv=1v−1=0⇒v=1
"the solutions are "v=-6" or "v=1the solutions are v=−6 or v=1
Explanation:
Using the 0 product property (if