Question
Simplify the expression
5β2482−10100β
Evaluate
β2482÷5−12−2008
Divide the terms
More Steps

Evaluate
β2482÷5
Multiply by the reciprocal
β2482×51
Multiply the terms
β×52482
Use the commutative property to reorder the terms
5β2482
5β2482−12−2008
Subtract the numbers
5β2482−2020
Reduce fractions to a common denominator
5β2482−5β2020×5β
Write all numerators above the common denominator
5β2482−2020×5β
Solution
5β2482−10100β
Show Solution

Find the excluded values
β=0
Evaluate
β2482÷5−12−2008
Solution
β=0
Show Solution

Find the roots
β=50501241
Alternative Form
β=0.245˙742˙
Evaluate
β2482÷5−12−2008
To find the roots of the expression,set the expression equal to 0
β2482÷5−12−2008=0
Find the domain
β2482÷5−12−2008=0,β=0
Calculate
β2482÷5−12−2008=0
Divide the terms
More Steps

Evaluate
β2482÷5
Multiply by the reciprocal
β2482×51
Multiply the terms
β×52482
Use the commutative property to reorder the terms
5β2482
5β2482−12−2008=0
Subtract the terms
More Steps

Simplify
5β2482−12
Reduce fractions to a common denominator
5β2482−5β12×5β
Write all numerators above the common denominator
5β2482−12×5β
Multiply the terms
5β2482−60β
5β2482−60β−2008=0
Subtract the terms
More Steps

Simplify
5β2482−60β−2008
Reduce fractions to a common denominator
5β2482−60β−5β2008×5β
Write all numerators above the common denominator
5β2482−60β−2008×5β
Multiply the terms
5β2482−60β−10040β
Subtract the terms
More Steps

Evaluate
−60β−10040β
Collect like terms by calculating the sum or difference of their coefficients
(−60−10040)β
Subtract the numbers
−10100β
5β2482−10100β
5β2482−10100β=0
Cross multiply
2482−10100β=5β×0
Simplify the equation
2482−10100β=0
Move the constant to the right side
−10100β=0−2482
Removing 0 doesn't change the value,so remove it from the expression
−10100β=−2482
Change the signs on both sides of the equation
10100β=2482
Divide both sides
1010010100β=101002482
Divide the numbers
β=101002482
Cancel out the common factor 2
β=50501241
Check if the solution is in the defined range
β=50501241,β=0
Solution
β=50501241
Alternative Form
β=0.245˙742˙
Show Solution
