Question
Simplify the expression
−135162+2v5
Evaluate
−56−32×15v4×31v
Multiply
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Multiply the terms
−32×15v4×31v
Multiply the terms
More Steps

Evaluate
32×31
To multiply the fractions,multiply the numerators and denominators separately
3×32
Multiply the numbers
92
−92×15v4v
Multiply the terms
More Steps

Evaluate
92×15v4v
Multiply the terms
1352v4v
Multiply the terms
1352v4×v
Multiply the terms
1352v5
−1352v5
−56−1352v5
Reduce fractions to a common denominator
−5×276×27−1352v5
Multiply the numbers
−1356×27−1352v5
Write all numerators above the common denominator
135−6×27−2v5
Multiply the numbers
135−162−2v5
Solution
−135162+2v5
Show Solution

Find the roots
v=−581
Alternative Form
v≈−2.408225
Evaluate
−56−32×15v4×31v
To find the roots of the expression,set the expression equal to 0
−56−32×15v4×31v=0
Multiply
More Steps

Multiply the terms
32×15v4×31v
Multiply the terms
More Steps

Evaluate
32×31
To multiply the fractions,multiply the numerators and denominators separately
3×32
Multiply the numbers
92
92×15v4v
Multiply the terms
More Steps

Evaluate
92×15v4
Multiply the terms
9×152v4
Multiply the terms
1352v4
1352v4v
Multiply the terms
1352v4×v
Multiply the terms
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Evaluate
v4×v
Use the product rule an×am=an+m to simplify the expression
v4+1
Add the numbers
v5
1352v5
−56−1352v5=0
Subtract the terms
More Steps

Simplify
−56−1352v5
Reduce fractions to a common denominator
−5×276×27−1352v5
Multiply the numbers
−1356×27−1352v5
Write all numerators above the common denominator
135−6×27−2v5
Multiply the numbers
135−162−2v5
Use b−a=−ba=−ba to rewrite the fraction
−135162+2v5
−135162+2v5=0
Simplify
−162−2v5=0
Rewrite the expression
−2v5=162
Change the signs on both sides of the equation
2v5=−162
Divide both sides
22v5=2−162
Divide the numbers
v5=2−162
Divide the numbers
More Steps

Evaluate
2−162
Reduce the numbers
1−81
Calculate
−81
v5=−81
Take the 5-th root on both sides of the equation
5v5=5−81
Calculate
v=5−81
Solution
v=−581
Alternative Form
v≈−2.408225
Show Solution
