Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x3−240x2
Evaluate
(x2−8x×15)(2x×1)
Remove the parentheses
(x2−8x×15)×2x×1
Multiply the terms
(x2−120x)×2x×1
Any expression multiplied by 1 remains the same
(x2−120x)×2x
Multiply the first two terms
2(x2−120x)x
Multiply the terms
More Steps
Evaluate
2(x2−120x)
Apply the distributive property
2x2−2×120x
Multiply the numbers
2x2−240x
(2x2−240x)x
Apply the distributive property
2x2×x−240x×x
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
2x3−240x×x
Solution
2x3−240x2
Show Solution
Factor the expression
2x2(x−120)
Evaluate
(x2−8x×15)(2x×1)
Remove the parentheses
(x2−8x×15)×2x×1
Multiply the terms
(x2−120x)×2x×1
Multiply the terms
(x2−120x)×2x
Multiply the terms
2x(x2−120x)
Factor the expression
More Steps
Evaluate
x2−120x
Rewrite the expression
x×x−x×120
Factor out x from the expression
x(x−120)
2x×x(x−120)
Solution
2x2(x−120)
Show Solution
Find the roots
x1=0,x2=120
Evaluate
(x2−8x×15)(2x×1)
To find the roots of the expression,set the expression equal to 0
(x2−8x×15)(2x×1)=0
Multiply the terms
(x2−120x)(2x×1)=0
Multiply the terms
(x2−120x)×2x=0
Multiply the terms
2x(x2−120x)=0
Elimination the left coefficient
x(x2−120x)=0
Separate the equation into 2 possible cases
x=0x2−120x=0
Solve the equation
More Steps
Evaluate
x2−120x=0
Factor the expression
More Steps
Evaluate
x2−120x
Rewrite the expression
x×x−x×120
Factor out x from the expression
x(x−120)
x(x−120)=0
When the product of factors equals 0,at least one factor is 0
x=0x−120=0
Solve the equation for x
More Steps
Evaluate
x−120=0
Move the constant to the right-hand side and change its sign
x=0+120
Removing 0 doesn't change the value,so remove it from the expression
x=120
x=0x=120
x=0x=0x=120
Find the union
x=0x=120
Solution
x1=0,x2=120
Show Solution