Question
Simplify the expression
−12x2+48x
Evaluate
−3(2x×1)×2(x−4)
Remove the parentheses
−3×2x×1×2(x−4)
Rewrite the expression
−3×2x×2(x−4)
Multiply the terms
More Steps

Evaluate
3×2×2
Multiply the terms
6×2
Multiply the numbers
12
−12x(x−4)
Apply the distributive property
−12x×x−(−12x×4)
Multiply the terms
−12x2−(−12x×4)
Multiply the numbers
−12x2−(−48x)
Solution
−12x2+48x
Show Solution

Find the roots
x1=0,x2=4
Evaluate
−3(2x×1)×2(x−4)
To find the roots of the expression,set the expression equal to 0
−3(2x×1)×2(x−4)=0
Multiply the terms
−3×2x×2(x−4)=0
Multiply the terms
More Steps

Multiply the terms
−3×2x×2(x−4)
Multiply the terms
More Steps

Evaluate
3×2×2
Multiply the terms
6×2
Multiply the numbers
12
−12x(x−4)
−12x(x−4)=0
Change the sign
12x(x−4)=0
Elimination the left coefficient
x(x−4)=0
Separate the equation into 2 possible cases
x=0x−4=0
Solve the equation
More Steps

Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=0x=4
Solution
x1=0,x2=4
Show Solution
