Question
Simplify the expression
9s−6s
Evaluate
(8×3s−2s)(3s×8s)
Remove the parentheses
8×3s−2s×(3s×8s)
Reduce the fraction
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Evaluate
3s×8s
Multiply the terms
24ss
Reduce the fraction
241
8×3s−2s×(241)
Remove the unnecessary parentheses
8×3s−2s×241
Multiply the terms
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Evaluate
8×241
Reduce the numbers
1×31
Multiply the numbers
31
31×3s−2s
Multiply the terms
3(3s−2)s
Solution
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Evaluate
3(3s−2)
Apply the distributive property
3×3s−3×2
Multiply the numbers
9s−3×2
Multiply the numbers
9s−6
9s−6s
Show Solution
Find the excluded values
s=32,s=0
Evaluate
(8×3s−2s)(3s×8s)
To find the excluded values,set the denominators equal to 0
3s−2=03s×8=0
Solve the equations
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Evaluate
3s−2=0
Move the constant to the right-hand side and change its sign
3s=0+2
Removing 0 doesn't change the value,so remove it from the expression
3s=2
Divide both sides
33s=32
Divide the numbers
s=32
s=323s×8=0
Solve the equations
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Evaluate
3s×8=0
Multiply the terms
24s=0
Rewrite the expression
s=0
s=32s=0
Solution
s=32,s=0
Show Solution
Find the roots
s∈∅
Evaluate
(8×3s−2s)(3s×8s)
To find the roots of the expression,set the expression equal to 0
(8×3s−2s)(3s×8s)=0
Find the domain
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Evaluate
{3s−2=03s×8=0
Calculate
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Evaluate
3s−2=0
Move the constant to the right side
3s=0+2
Removing 0 doesn't change the value,so remove it from the expression
3s=2
Divide both sides
33s=32
Divide the numbers
s=32
{s=323s×8=0
Calculate
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Evaluate
3s×8=0
Multiply the terms
24s=0
Rewrite the expression
s=0
{s=32s=0
Find the intersection
s∈(−∞,0)∪(0,32)∪(32,+∞)
(8×3s−2s)(3s×8s)=0,s∈(−∞,0)∪(0,32)∪(32,+∞)
Calculate
(8×3s−2s)(3s×8s)=0
Multiply the terms
3s−28s×(3s×8s)=0
Multiply the terms
3s−28s×(24ss)=0
Reduce the fraction
3s−28s×241=0
Multiply the terms
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Evaluate
3s−28s×241
Cancel out the common factor 8
3s−2s×31
Multiply the terms
(3s−2)×3s
Multiply the terms
3(3s−2)s
3(3s−2)s=0
Cross multiply
s=3(3s−2)×0
Simplify the equation
s=0
Check if the solution is in the defined range
s=0,s∈(−∞,0)∪(0,32)∪(32,+∞)
Solution
s∈∅
Show Solution