(3+x)(1-x)=

Solution for (3+x)(1-x)= equation:

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

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

Combine like terms: -3x + 1x = -2x
(3 + -2x + -1x2) = 0

Solving
3 + -2x + -1x2 = 0

Solving for variable 'x'.

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
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
Solution
x = {1, -3}