How to solve 3 x 2 5 3+ [ 2 15

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 x 2 5 3+ [ 2 15 | Equatix

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Question

$$\{ \frac { - 3 } { 2 } \times \frac { 7 } { 5 } \} + \{ \frac { - 3 } { 2 } \times \frac { 4 } { 15 } \}$$

Evaluate

$-\frac{5}{2}=-2.5$

Solution Steps

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

$$-\frac{3}{2}\times \frac{7}{5}+\frac{-3}{2}\times \frac{4}{15}$$

Multiply $-\frac{3}{2}$ times $\frac{7}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 7}{2\times 5}+\frac{-3}{2}\times \frac{4}{15}$$

Do the multiplications in the fraction $\frac{-3\times 7}{2\times 5}$.

$$\frac{-21}{10}+\frac{-3}{2}\times \frac{4}{15}$$

Fraction $\frac{-21}{10}$ can be rewritten as $-\frac{21}{10}$ by extracting the negative sign.

$$-\frac{21}{10}+\frac{-3}{2}\times \frac{4}{15}$$

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

$$-\frac{21}{10}-\frac{3}{2}\times \frac{4}{15}$$

Multiply $-\frac{3}{2}$ times $\frac{4}{15}$ by multiplying numerator times numerator and denominator times denominator.

$$-\frac{21}{10}+\frac{-3\times 4}{2\times 15}$$

Do the multiplications in the fraction $\frac{-3\times 4}{2\times 15}$.

$$-\frac{21}{10}+\frac{-12}{30}$$

Reduce the fraction $\frac{-12}{30}$ to lowest terms by extracting and canceling out $6$.

$$-\frac{21}{10}-\frac{2}{5}$$

Least common multiple of $10$ and $5$ is $10$. Convert $-\frac{21}{10}$ and $\frac{2}{5}$ to fractions with denominator $10$.

$$-\frac{21}{10}-\frac{4}{10}$$

Since $-\frac{21}{10}$ and $\frac{4}{10}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-4}{10}$$

Subtract $4$ from $-21$ to get $-25$.

$$\frac{-25}{10}$$

Reduce the fraction $\frac{-25}{10}$ to lowest terms by extracting and canceling out $5$.

$$-\frac{5}{2}$$

Show Solution

Factor

$-\frac{5}{2} = -2\frac{1}{2} = -2.5$