Question
Factor the expression
c2(2−7c3)
Evaluate
2c2−7c5
Rewrite the expression
c2×2−c2×7c3
Solution
c2(2−7c3)
Show Solution

Find the roots
c1=0,c2=7398
Alternative Form
c1=0,c2≈0.658634
Evaluate
2c2−7c5
To find the roots of the expression,set the expression equal to 0
2c2−7c5=0
Factor the expression
c2(2−7c3)=0
Separate the equation into 2 possible cases
c2=02−7c3=0
The only way a power can be 0 is when the base equals 0
c=02−7c3=0
Solve the equation
More Steps

Evaluate
2−7c3=0
Move the constant to the right-hand side and change its sign
−7c3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−7c3=−2
Change the signs on both sides of the equation
7c3=2
Divide both sides
77c3=72
Divide the numbers
c3=72
Take the 3-th root on both sides of the equation
3c3=372
Calculate
c=372
Simplify the root
More Steps

Evaluate
372
To take a root of a fraction,take the root of the numerator and denominator separately
3732
Multiply by the Conjugate
37×37232×372
Simplify
37×37232×349
Multiply the numbers
37×372398
Multiply the numbers
7398
c=7398
c=0c=7398
Solution
c1=0,c2=7398
Alternative Form
c1=0,c2≈0.658634
Show Solution
