Solve by Factoring x^2+7x+5=5

$x^{2} + 7 x + 5 = 5$

Step 1

Subtract $5$ from both sides of the equation.

$x^{2} + 7 x + 5 - 5 = 0$

Step 2

Combine the opposite terms in $x^{2} + 7 x + 5 - 5$ .

Subtract $5$ from $5$ .

$x^{2} + 7 x + 0 = 0$

Add $x^{2} + 7 x$ and $0$ .

$x^{2} + 7 x = 0$

Step 3

Factor $x$ out of $x^{2} + 7 x$ .

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

$x \cdot x + 7 x = 0$

Factor $x$ out of $7 x$ .

$x \cdot x + x \cdot 7 = 0$

Factor $x$ out of $x \cdot x + x \cdot 7$ .

$x (x + 7) = 0$

Step 4

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

$x = 0$

$x + 7 = 0$

Step 5

Set $x$ equal to $0$ .

$x = 0$

Step 6

Set $x + 7$ equal to $0$ and solve for $x$ .

Set $x + 7$ equal to $0$ .

$x + 7 = 0$

Subtract $7$ from both sides of the equation.

$x = - 7$

Step 7

The final solution is all the values that make $x (x + 7) = 0$ true.

$x = 0, - 7$