Solve for k -4k+2=1

$- 4 k + 2 = 1$

Step 1

Move all terms not containing $k$ to the right side of the equation.

Subtract $2$ from both sides of the equation.

$- 4 k = 1 - 2$

Subtract $2$ from $1$ .

$- 4 k = - 1$

Step 2

Divide each term in $- 4 k = - 1$ by $- 4$ and simplify.

Divide each term in $- 4 k = - 1$ by $- 4$ .

$\frac{- 4 k}{- 4} = \frac{- 1}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 k}{- 4} = \frac{- 1}{- 4}$

Divide $k$ by $1$ .

$k = \frac{- 1}{- 4}$

Simplify the right side.

Dividing two negative values results in a positive value.

$k = \frac{1}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$k = \frac{1}{4}$

Decimal Form:

$k = 0.25$