Solve for x -12x^2+48x=0

Problem

−12*x2+48*x=0

Solution

1. Identify the greatest common factor (GCF) of the terms −12*x2 and 48*x

2. Factor out the GCF, which is −12*x from the left side of the equation.

−12*x*(x−4)=0

3. Apply the Zero Product Property, which states that if a*b=0 then a=0 or b=0

−12*x=0

x−4=0

4. Solve each linear equation for x

x=0

x=4

Final Answer

−12*x2+48*x=0⇒x=0,4

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