Solve by Factoring 0=-x^2+6x

$0 = - x^{2} + 6 x$

Move all the expressions to the left side of the equation.

Add $x^{2}$ to both sides of the equation.

$x^{2} = 6 x$

Subtract $6 x$ from both sides of the equation.

$x^{2} - 6 x = 0$

Factor $x$ out of $x^{2} - 6 x$ .

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

$x \cdot x - 6 x = 0$

Factor $x$ out of $- 6 x$ .

$x \cdot x + x \cdot - 6 = 0$

Factor $x$ out of $x \cdot x + x \cdot - 6$ .

$x (x - 6) = 0$

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

$x = 0$

$x - 6 = 0$

Set $x$ equal to $0$ .

$x = 0$

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

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

$x - 6 = 0$

Add $6$ to both sides of the equation.

$x = 6$

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

$x = 0, 6$