How to solve 3x+2/(x+2)(x-3)

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 3x+2/(x+2)(x-3) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$3x+2/(x+2)(x-3)$$

Evaluate

$\frac{3x^{2}+8x-6}{x+2}$

Short Solution Steps

Express $\frac{2}{x+2}\left(x-3\right)$ as a single fraction.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply $3x$ times $\frac{x+2}{x+2}$.

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

Since $\frac{3x\left(x+2\right)}{x+2}$ and $\frac{2\left(x-3\right)}{x+2}$ have the same denominator, add them by adding their numerators.

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

Do the multiplications in $3x\left(x+2\right)+2\left(x-3\right)$.

$$\frac{3x^{2}+6x+2x-6}{x+2}$$

Combine like terms in $3x^{2}+6x+2x-6$.

$$\frac{3x^{2}+8x-6}{x+2}$$

Show Solution

Expand

$\frac{3x^{2}+8x-6}{x+2}$

Short Solution Steps

Express $\frac{2}{x+2}\left(x-3\right)$ as a single fraction.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply $3x$ times $\frac{x+2}{x+2}$.

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

Since $\frac{3x\left(x+2\right)}{x+2}$ and $\frac{2\left(x-3\right)}{x+2}$ have the same denominator, add them by adding their numerators.

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

Do the multiplications in $3x\left(x+2\right)+2\left(x-3\right)$.

$$\frac{3x^{2}+6x+2x-6}{x+2}$$

Combine like terms in $3x^{2}+6x+2x-6$.

$$\frac{3x^{2}+8x-6}{x+2}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Short Solution Steps

Expand

Short Solution Steps