Solve for p 1/2+p=-3

$\frac{1}{2} + p = - 3$

Step 1

Subtract $\frac{1}{2}$ from both sides of the equation.

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

Step 2

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$p = - 3 \cdot \frac{2}{2} - \frac{1}{2}$

Step 3

Combine $- 3$ and $\frac{2}{2}$ .

$p = \frac{- 3 \cdot 2}{2} - \frac{1}{2}$

Step 4

Combine the numerators over the common denominator.

$p = \frac{- 3 \cdot 2 - 1}{2}$

Step 5

Simplify the numerator.

Multiply $- 3$ by $2$ .

$p = \frac{- 6 - 1}{2}$

Subtract $1$ from $- 6$ .

$p = \frac{- 7}{2}$

Step 6

Move the negative in front of the fraction.

$p = - \frac{7}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$p = - \frac{7}{2}$

Decimal Form:

$p = - 3.5$

Mixed Number Form:

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