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

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

Evaluate

$$\frac{x}{5}+21$$

Solution Steps

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

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

Multiply 5 and \frac{1}{25} to get \frac{5}{25}.

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

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

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

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

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

Add -3 and 25 to get 22.

$$\frac{1}{5}x+22+5\left(-\frac{1}{5}\right)$$

Cancel out 5 and 5.

$$\frac{1}{5}x+22-1$$

Subtract 1 from 22 to get 21.

$$\frac{1}{5}x+21$$

Factor

$$\frac{x+105}{5}$$

Solution Steps

Factor out \frac{1}{5}.

$$\frac{x+105}{5}$$

Consider x-15+125-5. Multiply and combine like terms.

$$x+105$$

Rewrite the complete factored expression.

$$\frac{x+105}{5}$$