Chapter 7 - Polynomial Equations and Factoring - 7.4 - Solving Polynomial Equations in Factored Form - Monitoring Progress - Page 378: 1

$x=0$ and $x=1$.

The given equation is $\Rightarrow x(x-1)=0$ Use zero-product property rule. $\Rightarrow x=0$ or $x-1=0$ Solve for $x$. $\Rightarrow x=0$ or $x=1$ Check:- $x=0$ $\Rightarrow 0(0-1)=0$ $\Rightarrow 0(-1)=0$ $\Rightarrow 0=0$ True. Check:- $x=1$ $\Rightarrow 1(1-1)=0$ $\Rightarrow 1(0)=0$ $\Rightarrow 0=0$ True. Hence, the solutions are $x=0$ and $x=1$.