How to solve 2=2/3 imes2=1/5

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=2/3\times2=1/5 | Equatix

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Question

$$2=2/3 \times 2=1/5$$

Verify

$\text{false}$

Solution Steps

Express $\frac{2}{3}\times 2$ as a single fraction.

$$2=\frac{2\times 2}{3}\text{ and }\frac{2}{3}\times 2=\frac{1}{5}$$

Multiply $2$ and $2$ to get $4$.

$$2=\frac{4}{3}\text{ and }\frac{2}{3}\times 2=\frac{1}{5}$$

Convert $2$ to fraction $\frac{6}{3}$.

$$\frac{6}{3}=\frac{4}{3}\text{ and }\frac{2}{3}\times 2=\frac{1}{5}$$

Compare $\frac{6}{3}$ and $\frac{4}{3}$.

$$\text{false}\text{ and }\frac{2}{3}\times 2=\frac{1}{5}$$

Express $\frac{2}{3}\times 2$ as a single fraction.

$$\text{false}\text{ and }\frac{2\times 2}{3}=\frac{1}{5}$$

Multiply $2$ and $2$ to get $4$.

$$\text{false}\text{ and }\frac{4}{3}=\frac{1}{5}$$

Least common multiple of $3$ and $5$ is $15$. Convert $\frac{4}{3}$ and $\frac{1}{5}$ to fractions with denominator $15$.

$$\text{false}\text{ and }\frac{20}{15}=\frac{3}{15}$$

Compare $\frac{20}{15}$ and $\frac{3}{15}$.

$$\text{false}\text{ and }\text{false}$$

The conjunction of $\text{false}$ and $\text{false}$ is $\text{false}$.

$$\text{false}$$

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