Question
Simplify the expression
6q+2
Evaluate
4q+3+2q−1
Add the terms
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Evaluate
4q+2q
Collect like terms by calculating the sum or difference of their coefficients
(4+2)q
Add the numbers
6q
6q+3−1
Solution
6q+2
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Factor the expression
2(3q+1)
Evaluate
4q+3+2q−1
Add the terms
More Steps

Evaluate
4q+3+2q
Add the terms
More Steps

Evaluate
4q+2q
Collect like terms by calculating the sum or difference of their coefficients
(4+2)q
Add the numbers
6q
6q+3
6q+3−1
Subtract the numbers
6q+2
Solution
2(3q+1)
Show Solution

Find the roots
q=−31
Alternative Form
q=−0.3˙
Evaluate
4q+3+2q−1
To find the roots of the expression,set the expression equal to 0
4q+3+2q−1=0
Add the terms
More Steps

Evaluate
4q+3+2q
Add the terms
More Steps

Evaluate
4q+2q
Collect like terms by calculating the sum or difference of their coefficients
(4+2)q
Add the numbers
6q
6q+3
6q+3−1=0
Subtract the numbers
6q+2=0
Move the constant to the right-hand side and change its sign
6q=0−2
Removing 0 doesn't change the value,so remove it from the expression
6q=−2
Divide both sides
66q=6−2
Divide the numbers
q=6−2
Solution
More Steps

Evaluate
6−2
Cancel out the common factor 2
3−1
Use b−a=−ba=−ba to rewrite the fraction
−31
q=−31
Alternative Form
q=−0.3˙
Show Solution
