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

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

Simplifying
(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 = 6x
(-9 + 6x + -1x2) = 0

Solving
-9 + 6x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}