Solve [(x*10/100-x)x*10/100-x]-100

$$[ ( \frac { x \cdot 10 } { 100 } - x ) \frac { x \cdot 10 } { 100 } - x ] - 100$$

Evaluate

$$-\frac{9x^{2}}{100}-x-100$$

Solution Steps

Divide x\times 10 by 100 to get x\times \frac{1}{10}.

$$\left(x\times \frac{1}{10}-x\right)\times \frac{x\times 10}{100}-x-100$$

Combine x\times \frac{1}{10} and -x to get -\frac{9}{10}x.

$$-\frac{9}{10}x\times \frac{x\times 10}{100}-x-100$$

Divide x\times 10 by 100 to get x\times \frac{1}{10}.

$$-\frac{9}{10}xx\times \frac{1}{10}-x-100$$

Multiply x and x to get x^{2}.

$$-\frac{9}{10}x^{2}\times \frac{1}{10}-x-100$$

Multiply -\frac{9}{10} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9}{10\times 10}x^{2}-x-100$$

Do the multiplications in the fraction \frac{-9}{10\times 10}.

$$\frac{-9}{100}x^{2}-x-100$$

Fraction \frac{-9}{100} can be rewritten as -\frac{9}{100} by extracting the negative sign.

$$-\frac{9}{100}x^{2}-x-100$$

Expand

$$-\frac{9x^{2}}{100}-x-100$$

Solution Steps

Divide x\times 10 by 100 to get x\times \frac{1}{10}.

$$\left(x\times \frac{1}{10}-x\right)\times \frac{x\times 10}{100}-x-100$$

Combine x\times \frac{1}{10} and -x to get -\frac{9}{10}x.

$$-\frac{9}{10}x\times \frac{x\times 10}{100}-x-100$$

Divide x\times 10 by 100 to get x\times \frac{1}{10}.

$$-\frac{9}{10}xx\times \frac{1}{10}-x-100$$

Multiply x and x to get x^{2}.

$$-\frac{9}{10}x^{2}\times \frac{1}{10}-x-100$$

Multiply -\frac{9}{10} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9}{10\times 10}x^{2}-x-100$$

Do the multiplications in the fraction \frac{-9}{10\times 10}.

$$\frac{-9}{100}x^{2}-x-100$$

Fraction \frac{-9}{100} can be rewritten as -\frac{9}{100} by extracting the negative sign.

$$-\frac{9}{100}x^{2}-x-100$$