Question
Simplify the expression
3p9p−1
Evaluate
3−5÷15p
Divide the terms
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Evaluate
5÷15p
Rewrite the expression
15p5
Cancel out the common factor 5
3p1
3−3p1
Reduce fractions to a common denominator
3p3×3p−3p1
Write all numerators above the common denominator
3p3×3p−1
Solution
3p9p−1
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Find the excluded values
p=0
Evaluate
3−5÷(15p)
To find the excluded values,set the denominators equal to 0
15p=0
Solution
p=0
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Find the roots
p=91
Alternative Form
p=0.1˙
Evaluate
3−5÷(15p)
To find the roots of the expression,set the expression equal to 0
3−5÷(15p)=0
Find the domain
3−5÷(15p)=0,p=0
Calculate
3−5÷(15p)=0
Multiply the terms
3−5÷15p=0
Divide the terms
More Steps

Evaluate
5÷15p
Rewrite the expression
15p5
Cancel out the common factor 5
3p1
3−3p1=0
Subtract the terms
More Steps

Simplify
3−3p1
Reduce fractions to a common denominator
3p3×3p−3p1
Write all numerators above the common denominator
3p3×3p−1
Multiply the terms
3p9p−1
3p9p−1=0
Cross multiply
9p−1=3p×0
Simplify the equation
9p−1=0
Move the constant to the right side
9p=0+1
Removing 0 doesn't change the value,so remove it from the expression
9p=1
Divide both sides
99p=91
Divide the numbers
p=91
Check if the solution is in the defined range
p=91,p=0
Solution
p=91
Alternative Form
p=0.1˙
Show Solution
