Solve for X 4X^3-12X^2=0

Problem

4*X3−12*X2=0

Solution

1. Identify the greatest common factor of the terms 4*X3 and 12*X2

2. Factor out the greatest common factor, which is 4*X2

4*X2*(X−3)=0

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

4*X2=0

X−3=0

4. Solve the first equation for X by dividing by 4 and taking the square root.

X2=0

X=0

5. Solve the second equation for X by adding 3 to both sides.

X=3

Final Answer

X=0,3

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