(x-3)(x+3)=7

Solution for (x-3)(x+3)=7 equation:

Simplifying
(x + -3)(x + 3) = 7

Reorder the terms:
(-3 + x)(x + 3) = 7

Reorder the terms:
(-3 + x)(3 + x) = 7

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) = 7
((3 * -3 + x * -3) + x(3 + x)) = 7
((-9 + -3x) + x(3 + x)) = 7
(-9 + -3x + (3 * x + x * x)) = 7
(-9 + -3x + (3x + x2)) = 7

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) = 7
(-9 + x2) = 7

Solving
-9 + x2 = 7

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 = 7 + 9

Combine like terms: -9 + 9 = 0
0 + x2 = 7 + 9
x2 = 7 + 9

Combine like terms: 7 + 9 = 16
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}