How do you solve #3x^2-8x=0#?

1 Answer
Aviv S.
Mar 4, 2018

The answers are #x=0, 8/3#.

Explanation:

Factor out the #x# term, and then set each factor each to zero.

#3x^2-8x=0#

#color(red)x*color(blue)(3x)-color(red)x*color(blue)8=0#

#color(red)x(color(blue)(3x-8))=0#

#color(white){color(black)((color(red)x=0, qquadqquad color(blue)(3x-8)=0), (color(red)x=0, qquadqquad color(blue)(3x)=8), (color(red)x=0, qquadqquad color(blue)x=8/3):}#

So the solutions are #x=0, 8/3#.

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