Question
Simplify the expression
Solution
5b+10
Evaluate
3(b+4)+2(b−1)
Expand the expression
More Steps
Calculate
3(b+4)
Apply the distributive property
3b+3×4
Multiply the numbers
3b+12
3b+12+2(b−1)
Expand the expression
More Steps
Calculate
2(b−1)
Apply the distributive property
2b−2×1
Any expression multiplied by 1 remains the same
2b−2
3b+12+2b−2
Add the terms
More Steps
Evaluate
3b+2b
Collect like terms by calculating the sum or difference of their coefficients
(3+2)b
Add the numbers
5b
5b+12−2
Solution
5b+10
Show Solution
Factor the expression
Factor
5(b+2)
Evaluate
3(b+4)+2(b−1)
Simplify
More Steps
Evaluate
3(b+4)
Apply the distributive property
3b+3×4
Multiply the terms
3b+12
3b+12+2(b−1)
Simplify
More Steps
Evaluate
2(b−1)
Apply the distributive property
2b+2(−1)
Multiply the terms
2b−2
3b+12+2b−2
Add the terms
More Steps
Evaluate
3b+2b
Collect like terms by calculating the sum or difference of their coefficients
(3+2)b
Add the numbers
5b
5b+12−2
Subtract the numbers
5b+10
Solution
5(b+2)
Show Solution
Find the roots
Find the roots of the algebra expression
b=−2
Evaluate
3(b+4)+2(b−1)
To find the roots of the expression,set the expression equal to 0
3(b+4)+2(b−1)=0
Calculate
More Steps
Evaluate
3(b+4)+2(b−1)
Expand the expression
More Steps
Calculate
3(b+4)
Apply the distributive property
3b+3×4
Multiply the numbers
3b+12
3b+12+2(b−1)
Expand the expression
More Steps
Calculate
2(b−1)
Apply the distributive property
2b−2×1
Any expression multiplied by 1 remains the same
2b−2
3b+12+2b−2
Add the terms
More Steps
Evaluate
3b+2b
Collect like terms by calculating the sum or difference of their coefficients
(3+2)b
Add the numbers
5b
5b+12−2
Subtract the numbers
5b+10
5b+10=0
Move the constant to the right-hand side and change its sign
5b=0−10
Removing 0 doesn't change the value,so remove it from the expression
5b=−10
Divide both sides
55b=5−10
Divide the numbers
b=5−10
Solution
More Steps
Evaluate
5−10
Reduce the numbers
1−2
Calculate
−2
b=−2
Show Solution