Question
Simplify the expression
50v4−16v
Evaluate
5v2×v×10v−4v−8v−4v
Multiply
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Multiply the terms
5v2×v×10v
Multiply the terms
50v2×v×v
Multiply the terms with the same base by adding their exponents
50v2+1+1
Add the numbers
50v4
50v4−4v−8v−4v
Solution
More Steps

Evaluate
−4v−8v−4v
Collect like terms by calculating the sum or difference of their coefficients
(−4−8−4)v
Subtract the numbers
−16v
50v4−16v
Show Solution

Factor the expression
2v(25v3−8)
Evaluate
5v2×v×10v−4v−8v−4v
Multiply
More Steps

Multiply the terms
5v2×v×10v
Multiply the terms
50v2×v×v
Multiply the terms with the same base by adding their exponents
50v2+1+1
Add the numbers
50v4
50v4−4v−8v−4v
Subtract the terms
More Steps

Simplify
50v4−4v−8v
Subtract the terms
More Steps

Evaluate
−4v−8v
Collect like terms by calculating the sum or difference of their coefficients
(−4−8)v
Subtract the numbers
−12v
50v4−12v
50v4−12v−4v
Subtract the terms
More Steps

Evaluate
−12v−4v
Collect like terms by calculating the sum or difference of their coefficients
(−12−4)v
Subtract the numbers
−16v
50v4−16v
Rewrite the expression
2v×25v3−2v×8
Solution
2v(25v3−8)
Show Solution

Find the roots
v1=0,v2=5235
Alternative Form
v1=0,v2≈0.68399
Evaluate
5v2×v×10v−4v−8v−4v
To find the roots of the expression,set the expression equal to 0
5v2×v×10v−4v−8v−4v=0
Multiply
More Steps

Multiply the terms
5v2×v×10v
Multiply the terms
50v2×v×v
Multiply the terms with the same base by adding their exponents
50v2+1+1
Add the numbers
50v4
50v4−4v−8v−4v=0
Subtract the terms
More Steps

Simplify
50v4−4v−8v
Subtract the terms
More Steps

Evaluate
−4v−8v
Collect like terms by calculating the sum or difference of their coefficients
(−4−8)v
Subtract the numbers
−12v
50v4−12v
50v4−12v−4v=0
Subtract the terms
More Steps

Simplify
50v4−12v−4v
Subtract the terms
More Steps

Evaluate
−12v−4v
Collect like terms by calculating the sum or difference of their coefficients
(−12−4)v
Subtract the numbers
−16v
50v4−16v
50v4−16v=0
Factor the expression
2v(25v3−8)=0
Divide both sides
v(25v3−8)=0
Separate the equation into 2 possible cases
v=025v3−8=0
Solve the equation
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Evaluate
25v3−8=0
Move the constant to the right-hand side and change its sign
25v3=0+8
Removing 0 doesn't change the value,so remove it from the expression
25v3=8
Divide both sides
2525v3=258
Divide the numbers
v3=258
Take the 3-th root on both sides of the equation
3v3=3258
Calculate
v=3258
Simplify the root
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Evaluate
3258
To take a root of a fraction,take the root of the numerator and denominator separately
32538
Simplify the radical expression
3252
Multiply by the Conjugate
325×325223252
Simplify
325×32522×535
Multiply the numbers
325×32521035
Multiply the numbers
521035
Rewrite the expression
525×235
Reduce the fraction
5235
v=5235
v=0v=5235
Solution
v1=0,v2=5235
Alternative Form
v1=0,v2≈0.68399
Show Solution
