Solve for x 4x^3-4x=0

Problem

4*x3−4*x=0

Solution

1. Factor out the greatest common factor, which is 4*x

4*x*(x2−1)=0

2. Identify the difference of squares in the expression x2−1

x2−1=(x−1)*(x+1)

3. Rewrite the equation in its fully factored form.

4*x*(x−1)*(x+1)=0

4. Apply the zero product property by setting each factor equal to zero.

4*x=0⇒x=0

x−1=0⇒x=1

x+1=0⇒x=−1

Final Answer

x={−1,0,1}

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