Solve by Graphing x=x(x-6)

$x = x (x - 6)$

Simplify $x (x - 6)$ .

Apply the distributive property.

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

Simplify the expression.

Multiply $x$ by $x$ .

$x = x^{2} + x \cdot - 6$

Move $- 6$ to the left of $x$ .

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

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = 0, 7$