Solve -lfloor-2+3*2-5*(-4)-2*(5*3)-9rfloor

$$- \lfloor -2+3 \times 2-5 \times (-4)-2 \times (5 \times 3)-9 \rfloor$$

Evaluate

$$15$$

Solution Steps

Multiply 3 and 2 to get 6.

$$-\lfloor -2+6-5\left(-4\right)-2\times 5\times 3-9\rfloor$$

Add -2 and 6 to get 4.

$$-\lfloor 4-5\left(-4\right)-2\times 5\times 3-9\rfloor$$

Multiply 5 and -4 to get -20.

$$-\lfloor 4-\left(-20\right)-2\times 5\times 3-9\rfloor$$

The opposite of -20 is 20.

$$-\lfloor 4+20-2\times 5\times 3-9\rfloor$$

Add 4 and 20 to get 24.

$$-\lfloor 24-2\times 5\times 3-9\rfloor$$

Multiply 2 and 5 to get 10.

$$-\lfloor 24-10\times 3-9\rfloor$$

Multiply 10 and 3 to get 30.

$$-\lfloor 24-30-9\rfloor$$

Subtract 30 from 24 to get -6.

$$-\lfloor -6-9\rfloor$$

Subtract 9 from -6 to get -15.

$$-\lfloor -15\rfloor$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of -15 is -15.

$$-\left(-15\right)$$

The opposite of -15 is 15.

$$15$$

Factor

$$3\times 5$$