1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 100 10 | Equatix

Question

$$\frac { x - \frac { 100 } { x } } { 1 + \frac { 10 } { x } }$$

Evaluate

$x-10$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $x$ times $\frac{x}{x}$.

$$\frac{\frac{xx}{x}-\frac{100}{x}}{1+\frac{10}{x}}$$

Since $\frac{xx}{x}$ and $\frac{100}{x}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{xx-100}{x}}{1+\frac{10}{x}}$$

Do the multiplications in $xx-100$.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply $1$ times $\frac{x}{x}$.

$$\frac{\frac{x^{2}-100}{x}}{\frac{x}{x}+\frac{10}{x}}$$

Since $\frac{x}{x}$ and $\frac{10}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{\frac{x^{2}-100}{x}}{\frac{x+10}{x}}$$

Divide $\frac{x^{2}-100}{x}$ by $\frac{x+10}{x}$ by multiplying $\frac{x^{2}-100}{x}$ by the reciprocal of $\frac{x+10}{x}$.

$$\frac{\left(x^{2}-100\right)x}{x\left(x+10\right)}$$

Cancel out $x$ in both numerator and denominator.

$$\frac{x^{2}-100}{x+10}$$

Factor the expressions that are not already factored.

$$\frac{\left(x-10\right)\left(x+10\right)}{x+10}$$

Cancel out $x+10$ in both numerator and denominator.

$$x-10$$

Show Solution

Expand

$x-10$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $x$ times $\frac{x}{x}$.

$$\frac{\frac{xx}{x}-\frac{100}{x}}{1+\frac{10}{x}}$$

Since $\frac{xx}{x}$ and $\frac{100}{x}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{xx-100}{x}}{1+\frac{10}{x}}$$

Do the multiplications in $xx-100$.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply $1$ times $\frac{x}{x}$.

$$\frac{\frac{x^{2}-100}{x}}{\frac{x}{x}+\frac{10}{x}}$$

Since $\frac{x}{x}$ and $\frac{10}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{\frac{x^{2}-100}{x}}{\frac{x+10}{x}}$$

Divide $\frac{x^{2}-100}{x}$ by $\frac{x+10}{x}$ by multiplying $\frac{x^{2}-100}{x}$ by the reciprocal of $\frac{x+10}{x}$.

$$\frac{\left(x^{2}-100\right)x}{x\left(x+10\right)}$$

Cancel out $x$ in both numerator and denominator.

$$\frac{x^{2}-100}{x+10}$$

Factor the expressions that are not already factored.

$$\frac{\left(x-10\right)\left(x+10\right)}{x+10}$$

Cancel out $x+10$ in both numerator and denominator.

$$x-10$$

Show Solution

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