Solve for x 3x^2-bx=0

$3 x^{2} - b x = 0$

Step 1

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

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

$x (3 x) - b x = 0$

Factor $x$ out of $- b x$ .

$x (3 x) + x (- b) = 0$

Factor $x$ out of $x (3 x) + x (- b)$ .

$x (3 x - b) = 0$

Step 2

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x = 0$

$3 x - b = 0$

Step 3

Set $x$ equal to $0$ .

$x = 0$

Step 4

Set $3 x - b$ equal to $0$ and solve for $x$ .

Set $3 x - b$ equal to $0$ .

$3 x - b = 0$

Solve $3 x - b = 0$ for $x$ .

Add $b$ to both sides of the equation.

$3 x = b$

Divide each term in $3 x = b$ by $3$ and simplify.

Divide each term in $3 x = b$ by $3$ .

$\frac{3 x}{3} = \frac{b}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{b}{3}$

Divide $x$ by $1$ .

$x = \frac{b}{3}$

Step 5

The final solution is all the values that make $x (3 x - b) = 0$ true.

$x = 0$

$x = \frac{b}{3}$