Solve by Factoring 1/4x+1/2=1/4x-1/2

$\frac{1}{4} x + \frac{1}{2} = \frac{1}{4} x - \frac{1}{2}$

Step 1

Move all the expressions to the left side of the equation.

Subtract $\frac{1}{4} x$ from both sides of the equation.

$\frac{1}{4} x + \frac{1}{2} - \frac{1}{4} x = - \frac{1}{2}$

Add $\frac{1}{2}$ to both sides of the equation.

$\frac{1}{4} x + \frac{1}{2} - \frac{1}{4} x + \frac{1}{2} = 0$

Step 2

Simplify $\frac{1}{4} x + \frac{1}{2} - \frac{1}{4} x + \frac{1}{2}$ .

Combine the opposite terms in $\frac{1}{4} x + \frac{1}{2} - \frac{1}{4} x + \frac{1}{2}$ .

Subtract $\frac{1}{4} x$ from $\frac{1}{4} x$ .

$0 + \frac{1}{2} + \frac{1}{2} = 0$

Add $0$ and $\frac{1}{2}$ .

$\frac{1}{2} + \frac{1}{2} = 0$

Combine the numerators over the common denominator.

$\frac{1 + 1}{2} = 0$

Add $1$ and $1$ .

$\frac{2}{2} = 0$

Divide $2$ by $2$ .

$1 = 0$

Step 3

Since $1 \neq 0$ , there are no solutions.

No solution