Question

(Apex! Help!) Find the solution(s) to 7x^2-42x=0

A. x=6
B. x=-7
C. x=7
D. x=0
E. x=-6

Answer 1

A. x = 6, D. x = 0

Explanation:

`7x^2-42x=0\qquad\text{distribute}\\\\7x(x-6)=0\iff7x=0\ \vee\ x-6=0\\\\7x=0\qquad\text{divide both sides by 7}\\\boxed{x=0}\\\\x-6=0\qquad\text{add 6 to both sides}\\\boxed{x=6}`