Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
50c2−5c3
Evaluate
5c2(10−c)
Apply the distributive property
5c2×10−5c2×c
Multiply the numbers
50c2−5c2×c
Solution
More Steps
Evaluate
c2×c
Use the product rule an×am=an+m to simplify the expression
c2+1
Add the numbers
c3
50c2−5c3
Show Solution
Find the roots
c1=0,c2=10
Evaluate
5c2(10−c)
To find the roots of the expression,set the expression equal to 0
5c2(10−c)=0
Elimination the left coefficient
c2(10−c)=0
Separate the equation into 2 possible cases
c2=010−c=0
The only way a power can be 0 is when the base equals 0
c=010−c=0
Solve the equation
More Steps
Evaluate
10−c=0
Move the constant to the right-hand side and change its sign
−c=0−10
Removing 0 doesn't change the value,so remove it from the expression
−c=−10
Change the signs on both sides of the equation
c=10
c=0c=10
Solution
c1=0,c2=10
Show Solution