Answer
The equation has two solutions, $x=0$ or $x=3$
Work Step by Step
We are given
$3x^3-9x^2=0$
$3x^2(x-3)=0$
$x^2(x-3)=0$
$x=0$
or $x-3=0$
$\rightarrow x=3$
Therefore, the equation has two solutions, $x=0$ or $x=3$.
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 9 - Quadratic Functions and Equations - 9-4 Factoring to Solve Quadratic Equations - Practice and Problem-Solving Exercises - Page 572: 41
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