Solve Using the Square Root Property x^2=11x

$x^{2} = 11 x$

Step 1

Subtract $11 x$ from both sides of the equation.

$x^{2} - 11 x = 0$

Step 2

Factor $x$ out of $x^{2} - 11 x$ .

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

$x \cdot x - 11 x = 0$

Factor $x$ out of $- 11 x$ .

$x \cdot x + x \cdot - 11 = 0$

Factor $x$ out of $x \cdot x + x \cdot - 11$ .

$x (x - 11) = 0$

Step 3

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

$x = 0$

$x - 11 = 0$

Step 4

Set $x$ equal to $0$ .

$x = 0$

Step 5

Set $x - 11$ equal to $0$ and solve for $x$ .

Set $x - 11$ equal to $0$ .

$x - 11 = 0$

Add $11$ to both sides of the equation.

$x = 11$

Step 6

The final solution is all the values that make $x (x - 11) = 0$ true.

$x = 0, 11$