Solve 6{3[-9+4(5*3-9)]-3(40-8)}

$$6 \{ 3 [ - 9 + 4 ( 5 \times 3 - 9 ) ] - 3 ( 40 - 8 ) \}$$

Evaluate

$$-306$$

Solution Steps

Multiply 5 and 3 to get 15.

$$6\left(3\left(-9+4\left(15-9\right)\right)-3\left(40-8\right)\right)$$

Subtract 9 from 15 to get 6.

$$6\left(3\left(-9+4\times 6\right)-3\left(40-8\right)\right)$$

Multiply 4 and 6 to get 24.

$$6\left(3\left(-9+24\right)-3\left(40-8\right)\right)$$

Add -9 and 24 to get 15.

$$6\left(3\times 15-3\left(40-8\right)\right)$$

Multiply 3 and 15 to get 45.

$$6\left(45-3\left(40-8\right)\right)$$

Subtract 8 from 40 to get 32.

$$6\left(45-3\times 32\right)$$

Multiply 3 and 32 to get 96.

$$6\left(45-96\right)$$

Subtract 96 from 45 to get -51.

$$6\left(-51\right)$$

Multiply 6 and -51 to get -306.

$$-306$$

Factor

$$-306$$