Question
Simplify the expression
2x4−3x3
Evaluate
(2x−3)(x2×x×1)
Remove the parentheses
(2x−3)x2×x×1
Rewrite the expression
(2x−3)x2×x
Multiply the terms with the same base by adding their exponents
(2x−3)x2+1
Add the numbers
(2x−3)x3
Multiply the terms
x3(2x−3)
Apply the distributive property
x3×2x−x3×3
Multiply the terms
More Steps

Evaluate
x3×2x
Use the commutative property to reorder the terms
2x3×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
2x4
2x4−x3×3
Solution
2x4−3x3
Show Solution

Find the roots
x1=0,x2=23
Alternative Form
x1=0,x2=1.5
Evaluate
(2x−3)(x2×x×1)
To find the roots of the expression,set the expression equal to 0
(2x−3)(x2×x×1)=0
Multiply the terms
More Steps

Multiply the terms
x2×x×1
Rewrite the expression
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
(2x−3)x3=0
Multiply the terms
x3(2x−3)=0
Separate the equation into 2 possible cases
x3=02x−3=0
The only way a power can be 0 is when the base equals 0
x=02x−3=0
Solve the equation
More Steps

Evaluate
2x−3=0
Move the constant to the right-hand side and change its sign
2x=0+3
Removing 0 doesn't change the value,so remove it from the expression
2x=3
Divide both sides
22x=23
Divide the numbers
x=23
x=0x=23
Solution
x1=0,x2=23
Alternative Form
x1=0,x2=1.5
Show Solution
