Final Answer
$x=2,\:x=-1$
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Step-by-step Solution
Problem to solve:
$\left(x+1\right)\left(x-2\right)=0$
Specify the solving method
1
Break the equation in factors and set each equal to zero, to obtain
$x-2=0,\:x+1=0$
2
Solve the equation ($1$)
$x-2=0$
3
We need to isolate the dependent variable $x$, we can do that by subtracting $-2$ from both sides of the equation
$x=2$
4
Solve the equation ($2$)
$x+1=0$
5
We need to isolate the dependent variable $x$, we can do that by subtracting $1$ from both sides of the equation
$x=-1$
6
Combining all solutions, the $2$ solutions of the equation are
$x=2,\:x=-1$
Final Answer
$x=2,\:x=-1$