Question
Simplify the expression
45r4−20r
Evaluate
5r(9r3−4)
Apply the distributive property
5r×9r3−5r×4
Multiply the terms
More Steps

Evaluate
5r×9r3
Multiply the numbers
45r×r3
Multiply the terms
More Steps

Evaluate
r×r3
Use the product rule an×am=an+m to simplify the expression
r1+3
Add the numbers
r4
45r4
45r4−5r×4
Solution
45r4−20r
Show Solution

Find the roots
r1=0,r2=3312
Alternative Form
r1=0,r2≈0.763143
Evaluate
5r(9r3−4)
To find the roots of the expression,set the expression equal to 0
5r(9r3−4)=0
Elimination the left coefficient
r(9r3−4)=0
Separate the equation into 2 possible cases
r=09r3−4=0
Solve the equation
More Steps

Evaluate
9r3−4=0
Move the constant to the right-hand side and change its sign
9r3=0+4
Removing 0 doesn't change the value,so remove it from the expression
9r3=4
Divide both sides
99r3=94
Divide the numbers
r3=94
Take the 3-th root on both sides of the equation
3r3=394
Calculate
r=394
Simplify the root
More Steps

Evaluate
394
To take a root of a fraction,take the root of the numerator and denominator separately
3934
Multiply by the Conjugate
39×39234×392
Simplify
39×39234×333
Multiply the numbers
39×3923312
Multiply the numbers
323312
Reduce the fraction
3312
r=3312
r=0r=3312
Solution
r1=0,r2=3312
Alternative Form
r1=0,r2≈0.763143
Show Solution
