Question
x3−x=0
Solve the equation
x1=−1,x2=0,x3=1
Evaluate
x3−x=0
Factor the expression
x(x2−1)=0
Separate the equation into 2 possible cases
x=0x2−1=0
Solve the equation
More Steps

Evaluate
x2−1=0
Move the constant to the right-hand side and change its sign
x2=0+1
Removing 0 doesn't change the value,so remove it from the expression
x2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1
Simplify the expression
x=±1
Separate the equation into 2 possible cases
x=1x=−1
x=0x=1x=−1
Solution
x1=−1,x2=0,x3=1
Show Solution
