Question
Simplify the expression
2700102737900997+134a
Evaluate
10140−3÷2010+a×1÷2015
Divide the terms
More Steps

Evaluate
3÷2010
Rewrite the expression
20103
Cancel out the common factor 3
6701
10140−6701+a×1÷2015
Any expression multiplied by 1 remains the same
10140−6701+a÷2015
Rewrite the expression
10140−6701+2015a
Reduce fractions to a common denominator
670×40310140×670×403−670×403403+2015×134a×134
Multiply the numbers
27001010140×670×403−670×403403+2015×134a×134
Multiply the numbers
27001010140×670×403−270010403+2015×134a×134
Multiply the numbers
27001010140×670×403−270010403+270010a×134
Write all numerators above the common denominator
27001010140×670×403−403+a×134
Multiply the terms
More Steps

Evaluate
10140×670×403
Multiply the terms
6793800×403
Multiply the numbers
2737901400
2700102737901400−403+a×134
Use the commutative property to reorder the terms
2700102737901400−403+134a
Solution
2700102737900997+134a
Show Solution

Find the roots
a=−1342737900997
Alternative Form
a≈−2.04321×107
Evaluate
10140−3÷2010+a×1÷2015
To find the roots of the expression,set the expression equal to 0
10140−3÷2010+a×1÷2015=0
Divide the terms
More Steps

Evaluate
3÷2010
Rewrite the expression
20103
Cancel out the common factor 3
6701
10140−6701+a×1÷2015=0
Any expression multiplied by 1 remains the same
10140−6701+a÷2015=0
Rewrite the expression
10140−6701+2015a=0
Subtract the numbers
More Steps

Simplify
10140−6701
Reduce fractions to a common denominator
67010140×670−6701
Write all numerators above the common denominator
67010140×670−1
Multiply the numbers
6706793800−1
Subtract the numbers
6706793799
6706793799+2015a=0
Add the terms
More Steps

Evaluate
6706793799+2015a
Reduce fractions to a common denominator
670×4036793799×403+2015×134a×134
Multiply the numbers
2700106793799×403+2015×134a×134
Multiply the numbers
2700106793799×403+270010a×134
Write all numerators above the common denominator
2700106793799×403+a×134
Multiply the numbers
2700102737900997+a×134
Use the commutative property to reorder the terms
2700102737900997+134a
2700102737900997+134a=0
Simplify
2737900997+134a=0
Move the constant to the right side
134a=0−2737900997
Removing 0 doesn't change the value,so remove it from the expression
134a=−2737900997
Divide both sides
134134a=134−2737900997
Divide the numbers
a=134−2737900997
Solution
a=−1342737900997
Alternative Form
a≈−2.04321×107
Show Solution
