# How do you solve #x^3 - 10x^2 +24x = 0 #?

##### 2 Answers

Apr 7, 2018

#### Explanation:

Factor,

Factor,

Hence,

Apr 7, 2018

#### Explanation:

#"take out a "color(blue)"common factor " x#

#x(x^2-10x+24)=0#

#"the factors of + 24 which sum to - 10 are - 4 and - 6"#

#rArrx(x-4)(x-6)=0#

#"equate each factor to zero and solve for x"#

#rArrx=0#

#rArrx-4=0rArrx=4#

#x-6=0rArrx=6#