Solve 15-3*((100-4*(3*2-5*5))+9)-23*6+6

$$15-3 \times ((100-4 \times (3 \times 2-5 \times 5))+9)-23 \times 6+6$$

Evaluate

$$-672$$

Solution Steps

Multiply 3 and 2 to get 6.

$$15-3\left(100-4\left(6-5\times 5\right)+9\right)-23\times 6+6$$

Multiply 5 and 5 to get 25.

$$15-3\left(100-4\left(6-25\right)+9\right)-23\times 6+6$$

Subtract 25 from 6 to get -19.

$$15-3\left(100-4\left(-19\right)+9\right)-23\times 6+6$$

Multiply 4 and -19 to get -76.

$$15-3\left(100-\left(-76\right)+9\right)-23\times 6+6$$

The opposite of -76 is 76.

$$15-3\left(100+76+9\right)-23\times 6+6$$

Add 100 and 76 to get 176.

$$15-3\left(176+9\right)-23\times 6+6$$

Add 176 and 9 to get 185.

$$15-3\times 185-23\times 6+6$$

Multiply 3 and 185 to get 555.

$$15-555-23\times 6+6$$

Subtract 555 from 15 to get -540.

$$-540-23\times 6+6$$

Multiply 23 and 6 to get 138.

$$-540-138+6$$

Subtract 138 from -540 to get -678.

$$-678+6$$

Add -678 and 6 to get -672.

$$-672$$

Factor

$$-672$$