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# Solve the equation $x^3-x=0$

## Step-by-step Solution

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###  Videos

$x=0,\:x=1,\:x=-1$
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##  Step-by-step Solution 

Specify the solving method

1

Factor the polynomial $x^3-x$ by it's greatest common factor (GCF): $x$

$x\left(x^2-1\right)=0$

Learn how to solve equations problems step by step online.

$x\left(x^2-1\right)=0$

Learn how to solve equations problems step by step online. Solve the equation x^3-x=0. Factor the polynomial x^3-x by it's greatest common factor (GCF): x. Break the equation in 2 factors and set each equal to zero, to obtain. Solve the equation (1). The variable is already isolated, so the solution is.

$x=0,\:x=1,\:x=-1$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

SnapXam A2

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7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.