Solve (-0,2)^2-16/2(-0,2)^2+8*(-0,2)

$$\frac { ( - 0,2 ) ^ { 2 } - 16 } { 2 ( - 0,2 ) ^ { 2 } + 8 \cdot ( - 0,2 ) }$$

Evaluate

$$10,5$$

Solution Steps

Calculate -0,2 to the power of 2 and get 0,04.

$$\frac{0,04-16}{2\left(-0,2\right)^{2}+8\left(-0,2\right)}$$

Subtract 16 from 0,04 to get -15,96.

$$\frac{-15,96}{2\left(-0,2\right)^{2}+8\left(-0,2\right)}$$

Calculate -0,2 to the power of 2 and get 0,04.

$$\frac{-15,96}{2\times 0,04+8\left(-0,2\right)}$$

Multiply 2 and 0,04 to get 0,08.

$$\frac{-15,96}{0,08+8\left(-0,2\right)}$$

Multiply 8 and -0,2 to get -1,6.

$$\frac{-15,96}{0,08-1,6}$$

Subtract 1,6 from 0,08 to get -1,52.

$$\frac{-15,96}{-1,52}$$

Expand \frac{-15,96}{-1,52} by multiplying both numerator and the denominator by 100.

$$\frac{-1596}{-152}$$

Reduce the fraction \frac{-1596}{-152} to lowest terms by extracting and canceling out -76.

$$\frac{21}{2}$$

Factor

$$\frac{3 \cdot 7}{2} = 10\frac{1}{2} = 10.5$$