How to solve (-3)/(2)+(-4)/(7)

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 (-3)/(2)+(-4)/(7) | Equatix

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$$\frac{ -3 }{ 2 } + \frac{ -4 }{ 7 }$$

$-\frac{29}{14}\approx -2.071428571$

Fraction $\frac{-3}{2}$ can be rewritten as $-\frac{3}{2}$ by extracting the negative sign.

$$-\frac{3}{2}+\frac{-4}{7}$$

Fraction $\frac{-4}{7}$ can be rewritten as $-\frac{4}{7}$ by extracting the negative sign.

$$-\frac{3}{2}-\frac{4}{7}$$

Least common multiple of $2$ and $7$ is $14$. Convert $-\frac{3}{2}$ and $\frac{4}{7}$ to fractions with denominator $14$.

$$-\frac{21}{14}-\frac{8}{14}$$

Since $-\frac{21}{14}$ and $\frac{8}{14}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-8}{14}$$

Subtract $8$ from $-21$ to get $-29$.

$$-\frac{29}{14}$$

$-\frac{29}{14} = -2\frac{1}{14} = -2.0714285714285716$