How do you solve # 6x^{2} = 21x#?

1 Answer
Sep 13, 2016

#x = 0 or x = 7/2#

Explanation:

Start by dividing by 3 to make the equation as simple as possible.

#6x^2 = 21x " "rarr" " 2x^2 = 7x#

It is a quadratic #(x^2)# so make it equal to 0.

#2x^2 -7x = 0" " larr # now find factors

#x(2x-7)-0#

Let each factor be equal to 0.

#x = 0#

If # 2x-7=0 rarr x= 7/2#