(3-x)(x+3)=0

Solution for (3-x)(x+3)=0 equation:

Simplifying
(3 + -1x)(x + 3) = 0

Reorder the terms:
(3 + -1x)(3 + x) = 0

Multiply (3 + -1x) * (3 + x)
(3(3 + x) + -1x * (3 + x)) = 0
((3 * 3 + x * 3) + -1x * (3 + x)) = 0
((9 + 3x) + -1x * (3 + x)) = 0
(9 + 3x + (3 * -1x + x * -1x)) = 0
(9 + 3x + (-3x + -1x2)) = 0

Combine like terms: 3x + -3x = 0
(9 + 0 + -1x2) = 0
(9 + -1x2) = 0

Solving
9 + -1x2 = 0

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 + -1x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x2 = 0 + -9
-1x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-1x2 = -9

Divide each side by '-1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}