Solve Using the Square Root Property c^2=5c

$c^{2} = 5 c$

Step 1

Subtract $5 c$ from both sides of the equation.

$c^{2} - 5 c = 0$

Step 2

Factor $c$ out of $c^{2} - 5 c$ .

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

$c \cdot c - 5 c = 0$

Factor $c$ out of $- 5 c$ .

$c \cdot c + c \cdot - 5 = 0$

Factor $c$ out of $c \cdot c + c \cdot - 5$ .

$c (c - 5) = 0$

Step 3

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

$c = 0$

$c - 5 = 0$

Step 4

Set $c$ equal to $0$ .

$c = 0$

Step 5

Set $c - 5$ equal to $0$ and solve for $c$ .

Set $c - 5$ equal to $0$ .

$c - 5 = 0$

Add $5$ to both sides of the equation.

$c = 5$

Step 6

The final solution is all the values that make $c (c - 5) = 0$ true.

$c = 0, 5$