Solve x(-1/5)^2-3div(-5)^2+5*(-1/5)

$$x ( - \frac { 1 } { 5 } ) ^ { 2 } - 3 \div ( - 5 ) ^ { 2 } + 5 \times ( - \frac { 1 } { 5 } )$$

Evaluate

$$\frac{x-28}{25}$$

Solution Steps

Calculate -\frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$x\times \frac{1}{25}-\frac{3}{\left(-5\right)^{2}}+5\left(-\frac{1}{5}\right)$$

Calculate -5 to the power of 2 and get 25.

$$x\times \frac{1}{25}-\frac{3}{25}+5\left(-\frac{1}{5}\right)$$

Cancel out 5 and 5.

$$x\times \frac{1}{25}-\frac{3}{25}-1$$

Convert 1 to fraction \frac{25}{25}.

$$x\times \frac{1}{25}-\frac{3}{25}-\frac{25}{25}$$

Since -\frac{3}{25} and \frac{25}{25} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{1}{25}+\frac{-3-25}{25}$$

Subtract 25 from -3 to get -28.

$$x\times \frac{1}{25}-\frac{28}{25}$$

Factor

$$\frac{x-28}{25}$$

Solution Steps

Calculate -\frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$factor(x\times \frac{1}{25}-\frac{3}{\left(-5\right)^{2}}+5\left(-\frac{1}{5}\right))$$

Calculate -5 to the power of 2 and get 25.

$$factor(x\times \frac{1}{25}-\frac{3}{25}+5\left(-\frac{1}{5}\right))$$

Cancel out 5 and 5.

$$factor(x\times \frac{1}{25}-\frac{3}{25}-1)$$

Convert 1 to fraction \frac{25}{25}.

$$factor(x\times \frac{1}{25}-\frac{3}{25}-\frac{25}{25})$$

Since -\frac{3}{25} and \frac{25}{25} have the same denominator, subtract them by subtracting their numerators.

$$factor(x\times \frac{1}{25}+\frac{-3-25}{25})$$

Subtract 25 from -3 to get -28.

$$factor(x\times \frac{1}{25}-\frac{28}{25})$$

Factor out \frac{1}{25}.

$$\frac{x-28}{25}$$