Question
Simplify the expression
10x3−6x4
Evaluate
(5−3x)×2x3
Multiply the terms
2x3(5−3x)
Apply the distributive property
2x3×5−2x3×3x
Multiply the numbers
10x3−2x3×3x
Solution
More Steps

Evaluate
2x3×3x
Multiply the numbers
6x3×x
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
6x4
10x3−6x4
Show Solution

Find the roots
x1=0,x2=35
Alternative Form
x1=0,x2=1.6˙
Evaluate
(5−3x)(2x3)
To find the roots of the expression,set the expression equal to 0
(5−3x)(2x3)=0
Multiply the terms
(5−3x)×2x3=0
Multiply the terms
2x3(5−3x)=0
Elimination the left coefficient
x3(5−3x)=0
Separate the equation into 2 possible cases
x3=05−3x=0
The only way a power can be 0 is when the base equals 0
x=05−3x=0
Solve the equation
More Steps

Evaluate
5−3x=0
Move the constant to the right-hand side and change its sign
−3x=0−5
Removing 0 doesn't change the value,so remove it from the expression
−3x=−5
Change the signs on both sides of the equation
3x=5
Divide both sides
33x=35
Divide the numbers
x=35
x=0x=35
Solution
x1=0,x2=35
Alternative Form
x1=0,x2=1.6˙
Show Solution
