Question

Solve. 9 m 3 − 27 m 2 − 252 m = 0

Answer 1

m = 0

m = 7

m = -4

Explanation:

`\sf 9m^3-27m^2-252m=0`

Divide by 9:

`\sf \implies m^3-3m^2-28m=0`

Factor out common term m:

`\sf \implies m(m^2-3m-28)=0`

Factor expression in parentheses:

`\sf \implies m(m-7)(m+4)=0`

Therefore,

`\sf \implies m=0`

`\sf \implies m-7=0 \implies m=7`

`\sf \implies m+4=0 \implies m=-4`