Solve Using the Square Root Property -6(x+4)^2-36=0

$- 6 {(x + 4)}^{2} - 36 = 0$

Simplify $- 6 {(x + 4)}^{2} - 36$ .

Simplify each term.

Rewrite ${(x + 4)}^{2}$ as $(x + 4) (x + 4)$ .

$- 6 ((x + 4) (x + 4)) - 36 = 0$

Expand $(x + 4) (x + 4)$ using the FOIL Method.

Apply the distributive property.

$- 6 (x (x + 4) + 4 (x + 4)) - 36 = 0$

Apply the distributive property.

$- 6 (x \cdot x + x \cdot 4 + 4 (x + 4)) - 36 = 0$

Apply the distributive property.

$- 6 (x \cdot x + x \cdot 4 + 4 x + 4 \cdot 4) - 36 = 0$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$- 6 (x^{2} + x \cdot 4 + 4 x + 4 \cdot 4) - 36 = 0$

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

$- 6 (x^{2} + 4 \cdot x + 4 x + 4 \cdot 4) - 36 = 0$

Multiply $4$ by $4$ .

$- 6 (x^{2} + 4 x + 4 x + 16) - 36 = 0$

Add $4 x$ and $4 x$ .

$- 6 (x^{2} + 8 x + 16) - 36 = 0$

Apply the distributive property.

$- 6 x^{2} - 6 (8 x) - 6 \cdot 16 - 36 = 0$

Simplify.

Multiply $8$ by $- 6$ .

$- 6 x^{2} - 48 x - 6 \cdot 16 - 36 = 0$

Multiply $- 6$ by $16$ .

$- 6 x^{2} - 48 x - 96 - 36 = 0$

Subtract $36$ from $- 96$ .

$- 6 x^{2} - 48 x - 132 = 0$

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

No solution