Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x4−10x3
Evaluate
2x3(x−5)
Apply the distributive property
2x3×x−2x3×5
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
2x4−2x3×5
Solution
2x4−10x3
Show Solution
Find the roots
x1=0,x2=5
Evaluate
(2x3)(x−5)
To find the roots of the expression,set the expression equal to 0
(2x3)(x−5)=0
Multiply the terms
2x3(x−5)=0
Elimination the left coefficient
x3(x−5)=0
Separate the equation into 2 possible cases
x3=0x−5=0
The only way a power can be 0 is when the base equals 0
x=0x−5=0
Solve the equation
More Steps
Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=0x=5
Solution
x1=0,x2=5
Show Solution