Solve by Factoring x^2-4x=0

Problem

x2−4*x=0

Solution

1. Identify the greatest common factor (GCF) for the terms on the left side of the equation.

2. Factor out the GCF, which is x from both terms.

x*(x−4)=0

3. Apply the zero product property, which states that if the product of two factors is zero, at least one of the factors must be zero.

x=0

x−4=0

4. Solve each resulting linear equation for x

x=0

x=4

Final Answer

x2−4*x=0⇒x=0,4

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