Question
Simplify the expression
5δ51237−10145δ
Evaluate
δ102474×202−8−2021
Cancel out the common factor 2
δ102474×101−8−2021
Multiply the terms
More Steps

Evaluate
δ102474×101
Cancel out the common factor 2
δ51237×51
Multiply the terms
δ×551237
Use the commutative property to reorder the terms
5δ51237
5δ51237−8−2021
Subtract the numbers
5δ51237−2029
Reduce fractions to a common denominator
5δ51237−5δ2029×5δ
Write all numerators above the common denominator
5δ51237−2029×5δ
Solution
5δ51237−10145δ
Show Solution

Find the excluded values
δ=0
Evaluate
δ102474×202−8−2021
Solution
δ=0
Show Solution

Find the roots
δ=1014551237
Alternative Form
δ≈5.050468
Evaluate
δ102474×202−8−2021
To find the roots of the expression,set the expression equal to 0
δ102474×202−8−2021=0
Find the domain
δ102474×202−8−2021=0,δ=0
Calculate
δ102474×202−8−2021=0
Cancel out the common factor 2
δ102474×101−8−2021=0
Multiply the terms
More Steps

Evaluate
δ102474×101
Cancel out the common factor 2
δ51237×51
Multiply the terms
δ×551237
Use the commutative property to reorder the terms
5δ51237
5δ51237−8−2021=0
Subtract the terms
More Steps

Simplify
5δ51237−8
Reduce fractions to a common denominator
5δ51237−5δ8×5δ
Write all numerators above the common denominator
5δ51237−8×5δ
Multiply the terms
5δ51237−40δ
5δ51237−40δ−2021=0
Subtract the terms
More Steps

Simplify
5δ51237−40δ−2021
Reduce fractions to a common denominator
5δ51237−40δ−5δ2021×5δ
Write all numerators above the common denominator
5δ51237−40δ−2021×5δ
Multiply the terms
5δ51237−40δ−10105δ
Subtract the terms
More Steps

Evaluate
−40δ−10105δ
Collect like terms by calculating the sum or difference of their coefficients
(−40−10105)δ
Subtract the numbers
−10145δ
5δ51237−10145δ
5δ51237−10145δ=0
Cross multiply
51237−10145δ=5δ×0
Simplify the equation
51237−10145δ=0
Move the constant to the right side
−10145δ=0−51237
Removing 0 doesn't change the value,so remove it from the expression
−10145δ=−51237
Change the signs on both sides of the equation
10145δ=51237
Divide both sides
1014510145δ=1014551237
Divide the numbers
δ=1014551237
Check if the solution is in the defined range
δ=1014551237,δ=0
Solution
δ=1014551237
Alternative Form
δ≈5.050468
Show Solution
