Question
Simplify the expression
18s2+42s+12
Evaluate
(−6s−2)(−3s−6)
Apply the distributive property
−6s(−3s)−(−6s×6)−2(−3s)−(−2×6)
Multiply the terms
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Evaluate
−6s(−3s)
Multiply the numbers
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Evaluate
−6(−3)
Multiplying or dividing an even number of negative terms equals a positive
6×3
Multiply the numbers
18
18s×s
Multiply the terms
18s2
18s2−(−6s×6)−2(−3s)−(−2×6)
Multiply the numbers
18s2−(−36s)−2(−3s)−(−2×6)
Multiply the numbers
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Evaluate
−2(−3)
Multiplying or dividing an even number of negative terms equals a positive
2×3
Multiply the numbers
6
18s2−(−36s)+6s−(−2×6)
Multiply the numbers
18s2−(−36s)+6s−(−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
18s2+36s+6s+12
Solution
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Evaluate
36s+6s
Collect like terms by calculating the sum or difference of their coefficients
(36+6)s
Add the numbers
42s
18s2+42s+12
Show Solution

Factor the expression
6(3s+1)(s+2)
Evaluate
(−6s−2)(−3s−6)
Factor the expression
−2(3s+1)(−3s−6)
Factor the expression
−2(3s+1)(−3)(s+2)
Solution
6(3s+1)(s+2)
Show Solution

Find the roots
s1=−2,s2=−31
Alternative Form
s1=−2,s2=−0.3˙
Evaluate
(−6s−2)(−3s−6)
To find the roots of the expression,set the expression equal to 0
(−6s−2)(−3s−6)=0
Change the sign
(6s+2)(−3s−6)=0
Separate the equation into 2 possible cases
6s+2=0−3s−6=0
Solve the equation
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Evaluate
6s+2=0
Move the constant to the right-hand side and change its sign
6s=0−2
Removing 0 doesn't change the value,so remove it from the expression
6s=−2
Divide both sides
66s=6−2
Divide the numbers
s=6−2
Divide the numbers
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Evaluate
6−2
Cancel out the common factor 2
3−1
Use b−a=−ba=−ba to rewrite the fraction
−31
s=−31
s=−31−3s−6=0
Solve the equation
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Evaluate
−3s−6=0
Move the constant to the right-hand side and change its sign
−3s=0+6
Removing 0 doesn't change the value,so remove it from the expression
−3s=6
Change the signs on both sides of the equation
3s=−6
Divide both sides
33s=3−6
Divide the numbers
s=3−6
Divide the numbers
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Evaluate
3−6
Reduce the numbers
1−2
Calculate
−2
s=−2
s=−31s=−2
Solution
s1=−2,s2=−31
Alternative Form
s1=−2,s2=−0.3˙
Show Solution
