Solve 5^2+2(5)-8/5^2-4(5)-12

$$\frac { 5 ^ { 2 } + 2 ( 5 ) - 8 } { 5 ^ { 2 } - 4 ( 5 ) - 12 }$$

Evaluate

$$-\frac{27}{7}\approx -3.857142857$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{25+2\times 5-8}{5^{2}-4\times 5-12}$$

Multiply 2 and 5 to get 10.

$$\frac{25+10-8}{5^{2}-4\times 5-12}$$

Add 25 and 10 to get 35.

$$\frac{35-8}{5^{2}-4\times 5-12}$$

Subtract 8 from 35 to get 27.

$$\frac{27}{5^{2}-4\times 5-12}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{27}{25-4\times 5-12}$$

Multiply 4 and 5 to get 20.

$$\frac{27}{25-20-12}$$

Subtract 20 from 25 to get 5.

$$\frac{27}{5-12}$$

Subtract 12 from 5 to get -7.

$$\frac{27}{-7}$$

Fraction \frac{27}{-7} can be rewritten as -\frac{27}{7} by extracting the negative sign.

$$-\frac{27}{7}$$

Factor

$$-\frac{27}{7} = -3\frac{6}{7} = -3.857142857142857$$