Algebra Examples

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

Step 1

Subtract $x^{2}$ from both sides of the equation.

$\frac{1}{2} x - 3 - x^{2} = 0$

Step 2

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} - 3 - x^{2} = 0$

Step 3

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c = 0$

Step 4

Move $- 3$ .

$\frac{x}{2} - x^{2} - 3 = 0$

Step 5

Reorder $\frac{x}{2}$ and $- x^{2}$ .

$- x^{2} + \frac{x}{2} - 3 = 0$

Step 6

Reorder terms.

$- x^{2} + \frac{1}{2} x - 3 = 0$

Step 7