Solve -750[-3(155-(-45)-2(-65+(-115))]+550

$$- 750 [ - 3 ( 155 - ( - 45 ) - 2 ( - 65 + ( - 115 ) ) ] + 550$$

Evaluate

$$847500$$

Solution Steps

The opposite of -45 is 45.

$$-750\left(-3\left(155+45-2\left(-65-115\right)\right)+550\right)$$

Add 155 and 45 to get 200.

$$-750\left(-3\left(200-2\left(-65-115\right)\right)+550\right)$$

Subtract 115 from -65 to get -180.

$$-750\left(-3\left(200-2\left(-180\right)\right)+550\right)$$

Multiply 2 and -180 to get -360.

$$-750\left(-3\left(200-\left(-360\right)\right)+550\right)$$

The opposite of -360 is 360.

$$-750\left(-3\left(200+360\right)+550\right)$$

Add 200 and 360 to get 560.

$$-750\left(-3\times 560+550\right)$$

Multiply -3 and 560 to get -1680.

$$-750\left(-1680+550\right)$$

Add -1680 and 550 to get -1130.

$$-750\left(-1130\right)$$

Multiply -750 and -1130 to get 847500.

$$847500$$

Factor

$$2^{2}\times 3\times 5^{4}\times 113$$