Question
Simplify the expression
82719001313a−315e
Evaluate
75a÷84−2020e÷13
Divide the terms
More Steps

Evaluate
75a÷84
Multiply by the reciprocal
75a×841
Multiply the terms
75×84a
Multiply the terms
6300a
6300a−2020e÷13
Divide the terms
More Steps

Evaluate
2020e÷13
Multiply by the reciprocal
2020e×131
To multiply the fractions,multiply the numerators and denominators separately
2020×13e
Multiply the numbers
26260e
6300a−26260e
Reduce fractions to a common denominator
6300×1313a×1313−26260×315e×315
Multiply the numbers
8271900a×1313−26260×315e×315
Multiply the numbers
8271900a×1313−8271900e×315
Write all numerators above the common denominator
8271900a×1313−e×315
Use the commutative property to reorder the terms
82719001313a−e×315
Solution
82719001313a−315e
Show Solution

Find the roots
a=1313315e
Alternative Form
a≈0.652139
Evaluate
75a÷84−2020e÷13
To find the roots of the expression,set the expression equal to 0
75a÷84−2020e÷13=0
Divide the terms
More Steps

Evaluate
75a÷84
Multiply by the reciprocal
75a×841
Multiply the terms
75×84a
Multiply the terms
6300a
6300a−2020e÷13=0
Divide the terms
More Steps

Evaluate
2020e÷13
Multiply by the reciprocal
2020e×131
To multiply the fractions,multiply the numerators and denominators separately
2020×13e
Multiply the numbers
26260e
6300a−26260e=0
Subtract the terms
More Steps

Simplify
6300a−26260e
Reduce fractions to a common denominator
6300×1313a×1313−26260×315e×315
Multiply the numbers
8271900a×1313−26260×315e×315
Multiply the numbers
8271900a×1313−8271900e×315
Write all numerators above the common denominator
8271900a×1313−e×315
Use the commutative property to reorder the terms
82719001313a−e×315
Use the commutative property to reorder the terms
82719001313a−315e
82719001313a−315e=0
Simplify
1313a−315e=0
Move the constant to the right side
1313a=0+315e
Removing 0 doesn't change the value,so remove it from the expression
1313a=315e
Divide both sides
13131313a=1313315e
Solution
a=1313315e
Alternative Form
a≈0.652139
Show Solution
