Evaluate
6a^{2}+\frac{19a}{2}+2
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6a^{2}+\frac{19a}{2}+2
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4a^{2}+9a+2+\frac{1}{2}a\left(4a+1\right)
Divide 3a by 6 to get \frac{1}{2}a.
4a^{2}+9a+2+2a^{2}+\frac{1}{2}a
Use the distributive property to multiply \frac{1}{2}a by 4a+1.
6a^{2}+9a+2+\frac{1}{2}a
Combine 4a^{2} and 2a^{2} to get 6a^{2}.
6a^{2}+\frac{19}{2}a+2
Combine 9a and \frac{1}{2}a to get \frac{19}{2}a.
4a^{2}+9a+2+\frac{1}{2}a\left(4a+1\right)
Divide 3a by 6 to get \frac{1}{2}a.
4a^{2}+9a+2+2a^{2}+\frac{1}{2}a
Use the distributive property to multiply \frac{1}{2}a by 4a+1.
6a^{2}+9a+2+\frac{1}{2}a
Combine 4a^{2} and 2a^{2} to get 6a^{2}.
6a^{2}+\frac{19}{2}a+2
Combine 9a and \frac{1}{2}a to get \frac{19}{2}a.
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