Solve left|30*-147--5^2right|/-2-5-3

$$\frac{ \left| 30 \times -147-- { 5 }^{ 2 } \right| }{ -2-5-3 }$$

Evaluate

$$-\frac{877}{2}=-438.5$$

Solution Steps

Multiply 30 and -147 to get -4410.

$$\frac{|-4410-\left(-5^{2}\right)|}{-2-5-3}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{|-4410-\left(-25\right)|}{-2-5-3}$$

The opposite of -25 is 25.

$$\frac{|-4410+25|}{-2-5-3}$$

Add -4410 and 25 to get -4385.

$$\frac{|-4385|}{-2-5-3}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -4385 is 4385.

$$\frac{4385}{-2-5-3}$$

Subtract 5 from -2 to get -7.

$$\frac{4385}{-7-3}$$

Subtract 3 from -7 to get -10.

$$\frac{4385}{-10}$$

Reduce the fraction \frac{4385}{-10} to lowest terms by extracting and canceling out 5.

$$-\frac{877}{2}$$

Factor

$$-\frac{877}{2} = -438\frac{1}{2} = -438.5$$