Solve 2-[2-(-4)-12:(-3)]-5^2*3-1)

$$2 - [ 2 - ( - 4 ) - 12 : ( - 3 ) ] - 5 ^ { 2 } \cdot 3 - 1 )$$

Evaluate

$$-84$$

Solution Steps

The opposite of -4 is 4.

$$2-\left(2+4-\frac{12}{-3}\right)-5^{2}\times 3-1$$

Add 2 and 4 to get 6.

$$2-\left(6-\frac{12}{-3}\right)-5^{2}\times 3-1$$

Divide 12 by -3 to get -4.

$$2-\left(6-\left(-4\right)\right)-5^{2}\times 3-1$$

The opposite of -4 is 4.

$$2-\left(6+4\right)-5^{2}\times 3-1$$

Add 6 and 4 to get 10.

$$2-10-5^{2}\times 3-1$$

Subtract 10 from 2 to get -8.

$$-8-5^{2}\times 3-1$$

Calculate 5 to the power of 2 and get 25.

$$-8-25\times 3-1$$

Multiply 25 and 3 to get 75.

$$-8-75-1$$

Subtract 75 from -8 to get -83.

$$-83-1$$

Subtract 1 from -83 to get -84.

$$-84$$

Factor

$$-84$$