Question
Simplify the expression
−5v3−38v6
Evaluate
2v3−35v6−7v3−3v6
Subtract the terms
More Steps

Evaluate
2v3−7v3
Collect like terms by calculating the sum or difference of their coefficients
(2−7)v3
Subtract the numbers
−5v3
−5v3−35v6−3v6
Solution
More Steps

Evaluate
−35v6−3v6
Collect like terms by calculating the sum or difference of their coefficients
(−35−3)v6
Subtract the numbers
−38v6
−5v3−38v6
Show Solution

Factor the expression
−v3(5+38v3)
Evaluate
2v3−35v6−7v3−3v6
Subtract the terms
More Steps

Simplify
2v3−35v6−7v3
Subtract the terms
More Steps

Evaluate
2v3−7v3
Collect like terms by calculating the sum or difference of their coefficients
(2−7)v3
Subtract the numbers
−5v3
−5v3−35v6
−5v3−35v6−3v6
Subtract the terms
More Steps

Evaluate
−35v6−3v6
Collect like terms by calculating the sum or difference of their coefficients
(−35−3)v6
Subtract the numbers
−38v6
−5v3−38v6
Rewrite the expression
−v3×5−v3×38v3
Solution
−v3(5+38v3)
Show Solution

Find the roots
v1=−3837220,v2=0
Alternative Form
v1≈−0.508622,v2=0
Evaluate
2v3−35v6−7v3−3v6
To find the roots of the expression,set the expression equal to 0
2v3−35v6−7v3−3v6=0
Subtract the terms
More Steps

Simplify
2v3−35v6−7v3
Subtract the terms
More Steps

Evaluate
2v3−7v3
Collect like terms by calculating the sum or difference of their coefficients
(2−7)v3
Subtract the numbers
−5v3
−5v3−35v6
−5v3−35v6−3v6=0
Subtract the terms
More Steps

Simplify
−5v3−35v6−3v6
Subtract the terms
More Steps

Evaluate
−35v6−3v6
Collect like terms by calculating the sum or difference of their coefficients
(−35−3)v6
Subtract the numbers
−38v6
−5v3−38v6
−5v3−38v6=0
Factor the expression
−v3(5+38v3)=0
Divide both sides
v3(5+38v3)=0
Separate the equation into 2 possible cases
v3=05+38v3=0
The only way a power can be 0 is when the base equals 0
v=05+38v3=0
Solve the equation
More Steps

Evaluate
5+38v3=0
Move the constant to the right-hand side and change its sign
38v3=0−5
Removing 0 doesn't change the value,so remove it from the expression
38v3=−5
Divide both sides
3838v3=38−5
Divide the numbers
v3=38−5
Use b−a=−ba=−ba to rewrite the fraction
v3=−385
Take the 3-th root on both sides of the equation
3v3=3−385
Calculate
v=3−385
Simplify the root
More Steps

Evaluate
3−385
An odd root of a negative radicand is always a negative
−3385
To take a root of a fraction,take the root of the numerator and denominator separately
−33835
Multiply by the Conjugate
338×3382−35×3382
Simplify
338×3382−35×31444
Multiply the numbers
338×3382−37220
Multiply the numbers
38−37220
Calculate
−3837220
v=−3837220
v=0v=−3837220
Solution
v1=−3837220,v2=0
Alternative Form
v1≈−0.508622,v2=0
Show Solution
