Solve -5/76a^2-13a+6/6

$$- \frac{ 5 }{ 7 } \frac{ 6 { a }^{ 2 } -13a+6 }{ 6 }$$

Evaluate

$$-\frac{5a^{2}}{7}+\frac{65a}{42}-\frac{5}{7}$$

Solution Steps

Multiply -\frac{5}{7} times \frac{6a^{2}-13a+6}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(6a^{2}-13a+6\right)}{7\times 6}$$

Multiply 7 and 6 to get 42.

$$\frac{-5\left(6a^{2}-13a+6\right)}{42}$$

Use the distributive property to multiply -5 by 6a^{2}-13a+6.

$$\frac{-30a^{2}+65a-30}{42}$$

Expand

$$-\frac{5a^{2}}{7}+\frac{65a}{42}-\frac{5}{7}$$

Solution Steps

Multiply -\frac{5}{7} times \frac{6a^{2}-13a+6}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(6a^{2}-13a+6\right)}{7\times 6}$$

Multiply 7 and 6 to get 42.

$$\frac{-5\left(6a^{2}-13a+6\right)}{42}$$

Use the distributive property to multiply -5 by 6a^{2}-13a+6.

$$\frac{-30a^{2}+65a-30}{42}$$