Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4262417r
Evaluate
r18×88840255
Cancel out the common factor 5
r18×888851
Multiply the terms
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Multiply the terms
r18×888
Multiply the terms
r18×888
Multiply the terms
r15984
r15984851
Multiply by the reciprocal
851×15984r
Cancel out the common factor 3
817×5328r
Multiply the terms
8×532817r
Solution
4262417r
Show Solution
Find the excluded values
r=0
Evaluate
r18×88840255
To find the excluded values,set the denominators equal to 0
r=0r18×888=0
Solve the equations
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Evaluate
r18×888=0
Multiply the terms
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Multiply the terms
r18×888
Multiply the terms
r18×888
Multiply the terms
r15984
r15984=0
Cross multiply
15984=r×0
Simplify the equation
15984=0
The statement is false for any value of r
r∈∅
r=0r∈∅
Solution
r=0
Show Solution
Find the roots
r∈∅
Evaluate
r18×88840255
To find the roots of the expression,set the expression equal to 0
r18×88840255=0
Find the domain
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Evaluate
{r=0r18×888=0
Calculate
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Evaluate
r18×888=0
Multiply the terms
r15984=0
Multiply both sides
r15984×r=0×r
Evaluate
15984=0×r
Multiply both sides
15984=0
The statement is true for any value of r
r∈R
{r=0r∈R
Find the intersection
r=0
r18×88840255=0,r=0
Calculate
r18×88840255=0
Cancel out the common factor 5
r18×888851=0
Multiply the terms
More Steps
Multiply the terms
r18×888
Multiply the terms
r18×888
Multiply the terms
r15984
r15984851=0
Divide the terms
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Evaluate
r15984851
Multiply by the reciprocal
851×15984r
Cancel out the common factor 3
817×5328r
Multiply the terms
8×532817r
Multiply the terms
4262417r
4262417r=0
Simplify
17r=0
Rewrite the expression
r=0
Check if the solution is in the defined range
r=0,r=0
Solution
r∈∅
Show Solution