Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x3−10x4
Evaluate
2x(x2−5x3)
Apply the distributive property
2x×x2−2x×5x3
Multiply the terms
More Steps
Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
2x3−2x×5x3
Solution
More Steps
Evaluate
2x×5x3
Multiply the numbers
10x×x3
Multiply the terms
More Steps
Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
10x4
2x3−10x4
Show Solution
Factor the expression
2x3(1−5x)
Evaluate
2x(x2−5x3)
Factor the expression
More Steps
Evaluate
x2−5x3
Rewrite the expression
x2−x2×5x
Factor out x2 from the expression
x2(1−5x)
2x×x2(1−5x)
Solution
2x3(1−5x)
Show Solution
Find the roots
x1=0,x2=51
Alternative Form
x1=0,x2=0.2
Evaluate
2x(x2−5x3)
To find the roots of the expression,set the expression equal to 0
2x(x2−5x3)=0
Elimination the left coefficient
x(x2−5x3)=0
Separate the equation into 2 possible cases
x=0x2−5x3=0
Solve the equation
More Steps
Evaluate
x2−5x3=0
Factor the expression
x2(1−5x)=0
Separate the equation into 2 possible cases
x2=01−5x=0
The only way a power can be 0 is when the base equals 0
x=01−5x=0
Solve the equation
More Steps
Evaluate
1−5x=0
Move the constant to the right-hand side and change its sign
−5x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−5x=−1
Change the signs on both sides of the equation
5x=1
Divide both sides
55x=51
Divide the numbers
x=51
x=0x=51
x=0x=0x=51
Find the union
x=0x=51
Solution
x1=0,x2=51
Alternative Form
x1=0,x2=0.2
Show Solution