How to solve 3 2 - 5/2 = 3/2

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 - 5/2 = 3/2 | Equatix

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$$x + \frac { 3 } { 2 } - \frac { 5 } { 2 } = \frac { 3 } { 2 }$$

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

Since $\frac{3}{2}$ and $\frac{5}{2}$ have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{3-5}{2}=\frac{3}{2}$$

Subtract $5$ from $3$ to get $-2$.

$$x+\frac{-2}{2}=\frac{3}{2}$$

Divide $-2$ by $2$ to get $-1$.

$$x-1=\frac{3}{2}$$

Add $1$ to both sides.

$$x=\frac{3}{2}+1$$

Convert $1$ to fraction $\frac{2}{2}$.

$$x=\frac{3}{2}+\frac{2}{2}$$

Since $\frac{3}{2}$ and $\frac{2}{2}$ have the same denominator, add them by adding their numerators.

$$x=\frac{3+2}{2}$$

Add $3$ and $2$ to get $5$.

$$x=\frac{5}{2}$$