Question
Factor the expression
12x(2−x)
Evaluate
24x−12x2
Rewrite the expression
12x×2−12x×x
Solution
12x(2−x)
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Find the roots
x1=0,x2=2
Evaluate
24x−(12x2)
To find the roots of the expression,set the expression equal to 0
24x−(12x2)=0
Multiply the terms
24x−12x2=0
Factor the expression
More Steps

Evaluate
24x−12x2
Rewrite the expression
12x×2−12x×x
Factor out 12x from the expression
12x(2−x)
12x(2−x)=0
When the product of factors equals 0,at least one factor is 0
12x=02−x=0
Solve the equation for x
x=02−x=0
Solve the equation for x
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Evaluate
2−x=0
Move the constant to the right-hand side and change its sign
−x=0−2
Removing 0 doesn't change the value,so remove it from the expression
−x=−2
Change the signs on both sides of the equation
x=2
x=0x=2
Solution
x1=0,x2=2
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