How to solve (-2/5+3/10)+-5

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 (-2/5+3/10)+-5 | Equatix

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Question

$$(-2/5+3/10)+-5$$

Evaluate

$-\frac{51}{10}=-5.1$

Solution Steps

Fraction $\frac{-2}{5}$ can be rewritten as $-\frac{2}{5}$ by extracting the negative sign.

$$-\frac{2}{5}+\frac{3}{10}-5$$

Least common multiple of $5$ and $10$ is $10$. Convert $-\frac{2}{5}$ and $\frac{3}{10}$ to fractions with denominator $10$.

$$-\frac{4}{10}+\frac{3}{10}-5$$

Since $-\frac{4}{10}$ and $\frac{3}{10}$ have the same denominator, add them by adding their numerators.

$$\frac{-4+3}{10}-5$$

Add $-4$ and $3$ to get $-1$.

$$-\frac{1}{10}-5$$

Convert $5$ to fraction $\frac{50}{10}$.

$$-\frac{1}{10}-\frac{50}{10}$$

Since $-\frac{1}{10}$ and $\frac{50}{10}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-50}{10}$$

Subtract $50$ from $-1$ to get $-51$.

$$-\frac{51}{10}$$

Show Solution

Factor

$-\frac{51}{10} = -5\frac{1}{10} = -5.1$