Question
Simplify the expression
9a−2
Evaluate
2(3a−4)+3(a+2)
Expand the expression
More Steps

Calculate
2(3a−4)
Apply the distributive property
2×3a−2×4
Multiply the numbers
6a−2×4
Multiply the numbers
6a−8
6a−8+3(a+2)
Expand the expression
More Steps

Calculate
3(a+2)
Apply the distributive property
3a+3×2
Multiply the numbers
3a+6
6a−8+3a+6
Add the terms
More Steps

Evaluate
6a+3a
Collect like terms by calculating the sum or difference of their coefficients
(6+3)a
Add the numbers
9a
9a−8+6
Solution
9a−2
Show Solution

Find the roots
a=92
Alternative Form
a=0.2˙
Evaluate
2(3a−4)+3(a+2)
To find the roots of the expression,set the expression equal to 0
2(3a−4)+3(a+2)=0
Calculate
More Steps

Evaluate
2(3a−4)+3(a+2)
Expand the expression
More Steps

Calculate
2(3a−4)
Apply the distributive property
2×3a−2×4
Multiply the numbers
6a−2×4
Multiply the numbers
6a−8
6a−8+3(a+2)
Expand the expression
More Steps

Calculate
3(a+2)
Apply the distributive property
3a+3×2
Multiply the numbers
3a+6
6a−8+3a+6
Add the terms
More Steps

Evaluate
6a+3a
Collect like terms by calculating the sum or difference of their coefficients
(6+3)a
Add the numbers
9a
9a−8+6
Add the numbers
9a−2
9a−2=0
Move the constant to the right-hand side and change its sign
9a=0+2
Removing 0 doesn't change the value,so remove it from the expression
9a=2
Divide both sides
99a=92
Solution
a=92
Alternative Form
a=0.2˙
Show Solution
