Finite Math Examples

$x (x - 2 k) + 4 = 0$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$x \cdot x + x (- 2 k) + 4 = 0$

Step 1.2

Multiply $x$ by $x$ .

$x^{2} + x (- 2 k) + 4 = 0$

Step 1.3

Rewrite using the commutative property of multiplication.

$x^{2} - 2 x k + 4 = 0$

Step 2

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

Tap for more steps...

Step 2.1

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

$- 2 x k + 4 = - x^{2}$

Step 2.2

Subtract $4$ from both sides of the equation.

$- 2 x k = - x^{2} - 4$

Step 3

Divide each term in $- 2 x k = - x^{2} - 4$ by $- 2 x$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- 2 x k = - x^{2} - 4$ by $- 2 x$ .

$\frac{- 2 x k}{- 2 x} = \frac{- x^{2}}{- 2 x} + \frac{- 4}{- 2 x}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $- 2$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{- 2 x k}{- 2 x} = \frac{- x^{2}}{- 2 x} + \frac{- 4}{- 2 x}$

Step 3.2.1.2

Rewrite the expression.

$\frac{x k}{x} = \frac{- x^{2}}{- 2 x} + \frac{- 4}{- 2 x}$

Step 3.2.2

Cancel the common factor of $x$ .

Tap for more steps...

Step 3.2.2.1

Cancel the common factor.

$\frac{x k}{x} = \frac{- x^{2}}{- 2 x} + \frac{- 4}{- 2 x}$

Step 3.2.2.2

Divide $k$ by $1$ .

$k = \frac{- x^{2}}{- 2 x} + \frac{- 4}{- 2 x}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Simplify each term.

Tap for more steps...

Step 3.3.1.1

Cancel the common factor of $x^{2}$ and $x$ .

Tap for more steps...

Step 3.3.1.1.1

Factor $x$ out of $- x^{2}$ .

$k = \frac{x (- x)}{- 2 x} + \frac{- 4}{- 2 x}$

Step 3.3.1.1.2

Cancel the common factors.

Tap for more steps...

Step 3.3.1.1.2.1

Factor $x$ out of $- 2 x$ .

$k = \frac{x (- x)}{x \cdot - 2} + \frac{- 4}{- 2 x}$

Step 3.3.1.1.2.2

Cancel the common factor.

$k = \frac{x (- x)}{x \cdot - 2} + \frac{- 4}{- 2 x}$

Step 3.3.1.1.2.3

Rewrite the expression.

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

Step 3.3.1.2

Dividing two negative values results in a positive value.

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

Step 3.3.1.3

Cancel the common factor of $- 4$ and $- 2$ .

Tap for more steps...

Step 3.3.1.3.1

Factor $- 2$ out of $- 4$ .

$k = \frac{x}{2} + \frac{- 2 (2)}{- 2 x}$

Step 3.3.1.3.2

Cancel the common factors.

Tap for more steps...

Step 3.3.1.3.2.1

Factor $- 2$ out of $- 2 x$ .

$k = \frac{x}{2} + \frac{- 2 (2)}{- 2 (x)}$

Step 3.3.1.3.2.2

Cancel the common factor.

$k = \frac{x}{2} + \frac{- 2 \cdot 2}{- 2 x}$

Step 3.3.1.3.2.3

Rewrite the expression.

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