Finite Math Examples

$9 b^{2} - 15 b = 3 b$

Step 1

Subtract $3 b$ from both sides of the equation.

$9 b^{2} - 15 b - 3 b = 0$

Step 2

Subtract $3 b$ from $- 15 b$ .

$9 b^{2} - 18 b = 0$

Step 3

Factor $9 b$ out of $9 b^{2} - 18 b$ .

Tap for more steps...

Step 3.1

Factor $9 b$ out of $9 b^{2}$ .

$9 b (b) - 18 b = 0$

Step 3.2

Factor $9 b$ out of $- 18 b$ .

$9 b (b) + 9 b (- 2) = 0$

Step 3.3

Factor $9 b$ out of $9 b (b) + 9 b (- 2)$ .

$9 b (b - 2) = 0$

Step 4

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

$b = 0$

$b - 2 = 0$

Step 5

Set $b$ equal to $0$ .

$b = 0$

Step 6

Set $b - 2$ equal to $0$ and solve for $b$ .

Tap for more steps...

Step 6.1

Set $b - 2$ equal to $0$ .

$b - 2 = 0$

Step 6.2

Add $2$ to both sides of the equation.

$b = 2$

Step 7

The final solution is all the values that make $9 b (b - 2) = 0$ true.

$b = 0, 2$