(x+3)(x-3)=-5

Solution for (x+3)(x-3)=-5 equation:

Simplifying
(x + 3)(x + -3) = -5

Reorder the terms:
(3 + x)(x + -3) = -5

Reorder the terms:
(3 + x)(-3 + x) = -5

Multiply (3 + x) * (-3 + x)
(3(-3 + x) + x(-3 + x)) = -5
((-3 * 3 + x * 3) + x(-3 + x)) = -5
((-9 + 3x) + x(-3 + x)) = -5
(-9 + 3x + (-3 * x + x * x)) = -5
(-9 + 3x + (-3x + x2)) = -5

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) = -5
(-9 + x2) = -5

Solving
-9 + x2 = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + x2 = -5 + 9

Combine like terms: -9 + 9 = 0
0 + x2 = -5 + 9
x2 = -5 + 9

Combine like terms: -5 + 9 = 4
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}