Write as a Function of x 3x^2+kx-18=0

$3 x^{2} + k x - 18 = 0$

Step 1

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

Subtract $3 x^{2}$ from both sides of the equation.

$k x - 18 = - 3 x^{2}$

Add $18$ to both sides of the equation.

$k x = - 3 x^{2} + 18$

Step 2

Divide each term in $k x = - 3 x^{2} + 18$ by $x$ and simplify.

Divide each term in $k x = - 3 x^{2} + 18$ by $x$ .

$\frac{k x}{x} = \frac{- 3 x^{2}}{x} + \frac{18}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{k x}{x} = \frac{- 3 x^{2}}{x} + \frac{18}{x}$

Divide $k$ by $1$ .

$k = \frac{- 3 x^{2}}{x} + \frac{18}{x}$

Simplify the right side.

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

Factor $x$ out of $- 3 x^{2}$ .

$k = \frac{x (- 3 x)}{x} + \frac{18}{x}$

Cancel the common factors.

Raise $x$ to the power of $1$ .

$k = \frac{x (- 3 x)}{x^{1}} + \frac{18}{x}$

Factor $x$ out of $x^{1}$ .

$k = \frac{x (- 3 x)}{x \cdot 1} + \frac{18}{x}$

Cancel the common factor.

$k = \frac{x (- 3 x)}{x \cdot 1} + \frac{18}{x}$

Rewrite the expression.

$k = \frac{- 3 x}{1} + \frac{18}{x}$

Divide $- 3 x$ by $1$ .

$k = - 3 x + \frac{18}{x}$

Step 3

To rewrite as a function of $x$ , write the equation so that $k$ is by itself on one side of the equal sign and an expression involving only $x$ is on the other side.

$f (x) = - 3 x + \frac{18}{x}$

Write as a Function of x 3x^2+kx-18=0

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