Question
Simplify the expression
506247z
Evaluate
1988÷(z2024×1)
Divide the terms
988÷(z2024×1)
Calculate
988÷z2024
Multiply by the reciprocal
988×2024z
Cancel out the common factor 4
247×506z
Solution
506247z
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Find the excluded values
z=0
Evaluate
1988÷(z2024×1)
To find the excluded values,set the denominators equal to 0
z=0z2024×1=0
Solve the equations
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Evaluate
z2024×1=0
Calculate
z2024=0
Cross multiply
2024=z×0
Simplify the equation
2024=0
The statement is false for any value of z
z∈∅
z=0z∈∅
Solution
z=0
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Find the roots
z∈∅
Evaluate
1988÷(z2024×1)
To find the roots of the expression,set the expression equal to 0
1988÷(z2024×1)=0
Find the domain
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Evaluate
{z=0z2024×1=0
Calculate
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Evaluate
z2024×1=0
Calculate
z2024=0
Multiply both sides
z2024×z=0×z
Evaluate
2024=0×z
Multiply both sides
2024=0
The statement is true for any value of z
z∈R
{z=0z∈R
Find the intersection
z=0
1988÷(z2024×1)=0,z=0
Calculate
1988÷(z2024×1)=0
Divide the terms
988÷(z2024×1)=0
Calculate
988÷z2024=0
Divide the terms
More Steps

Evaluate
988÷z2024
Multiply by the reciprocal
988×2024z
Cancel out the common factor 4
247×506z
Multiply the terms
506247z
506247z=0
Simplify
247z=0
Rewrite the expression
z=0
Check if the solution is in the defined range
z=0,z=0
Solution
z∈∅
Show Solution
