Solve by Graphing x=x(x+4)

$x = x (x + 4)$

Simplify $x (x + 4)$ .

Apply the distributive property.

$x = x \cdot x + x \cdot 4$

Simplify the expression.

Multiply $x$ by $x$ .

$x = x^{2} + x \cdot 4$

Move $4$ to the left of $x$ .

$x = x^{2} + 4 x$

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

$x = - 3, 0$