Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
504511d
Evaluate
1044÷d2018
Cancel out the common factor 2
522÷d2018
Multiply by the reciprocal
522×2018d
Cancel out the common factor 2
511×1009d
Multiply the terms
5×100911d
Solution
504511d
Show Solution
Find the excluded values
d=0
Evaluate
1044÷d2018
To find the excluded values,set the denominators equal to 0
d=0d2018=0
Solve the equations
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Evaluate
d2018=0
Cross multiply
2018=d×0
Simplify the equation
2018=0
The statement is false for any value of d
d∈∅
d=0d∈∅
Solution
d=0
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Find the roots
d∈∅
Evaluate
1044÷d2018
To find the roots of the expression,set the expression equal to 0
1044÷d2018=0
Find the domain
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Evaluate
{d=0d2018=0
Calculate
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Evaluate
d2018=0
Multiply both sides
d2018×d=0×d
Evaluate
2018=0×d
Multiply both sides
2018=0
The statement is true for any value of d
d∈R
{d=0d∈R
Find the intersection
d=0
1044÷d2018=0,d=0
Calculate
1044÷d2018=0
Cancel out the common factor 2
522÷d2018=0
Divide the terms
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Evaluate
522÷d2018
Multiply by the reciprocal
522×2018d
Cancel out the common factor 2
511×1009d
Multiply the terms
5×100911d
Multiply the terms
504511d
504511d=0
Simplify
11d=0
Rewrite the expression
d=0
Check if the solution is in the defined range
d=0,d=0
Solution
d∈∅
Show Solution