Solve for s 3s(s-2)=12s

$3 s (s - 2) = 12 s$

Simplify $3 s (s - 2)$ .

Start simplifying.

$0 + 0 + 3 s (s - 2) = 12 s$

Simplify by adding zeros.

$3 s (s - 2) = 12 s$

Apply the distributive property.

$3 s \cdot s + 3 s \cdot - 2 = 12 s$

Multiply $s$ by $s$ by adding the exponents.

Move $s$ .

$3 (s \cdot s) + 3 s \cdot - 2 = 12 s$

Multiply $s$ by $s$ .

$3 s^{2} + 3 s \cdot - 2 = 12 s$

Multiply $- 2$ by $3$ .

$3 s^{2} - 6 s = 12 s$

Move all terms containing $s$ to the left side of the equation.

Subtract $12 s$ from both sides of the equation.

$3 s^{2} - 6 s - 12 s = 0$

Subtract $12 s$ from $- 6 s$ .

$3 s^{2} - 18 s = 0$

Factor $3 s$ out of $3 s^{2} - 18 s$ .

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

$3 s (s) - 18 s = 0$

Factor $3 s$ out of $- 18 s$ .

$3 s (s) + 3 s (- 6) = 0$

Factor $3 s$ out of $3 s (s) + 3 s (- 6)$ .

$3 s (s - 6) = 0$

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

$s = 0$

$s - 6 = 0$

Set $s$ equal to $0$ .

$s = 0$

Set $s - 6$ equal to $0$ and solve for $s$ .

Set $s - 6$ equal to $0$ .

$s - 6 = 0$

Add $6$ to both sides of the equation.

$s = 6$

The final solution is all the values that make $3 s (s - 6) = 0$ true.

$s = 0, 6$