Question
Simplify the expression
18x3−36x2
Evaluate
(x−2)×2x×3×3x
Multiply the terms
More Steps

Evaluate
2×3×3
Multiply the terms
6×3
Multiply the numbers
18
(x−2)×18x×x
Multiply the terms
(x−2)×18x2
Multiply the terms
18x2(x−2)
Apply the distributive property
18x2×x−18x2×2
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
18x3−18x2×2
Solution
18x3−36x2
Show Solution

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

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

Evaluate
2×3×3
Multiply the terms
6×3
Multiply the numbers
18
(x−2)×18x×x
Multiply the terms
(x−2)×18x2
Multiply the terms
18x2(x−2)
18x2(x−2)=0
Elimination the left coefficient
x2(x−2)=0
Separate the equation into 2 possible cases
x2=0x−2=0
The only way a power can be 0 is when the base equals 0
x=0x−2=0
Solve the equation
More Steps

Evaluate
x−2=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
x=0x=2
Solution
x1=0,x2=2
Show Solution
