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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

Simplifying
1 + -3x = 0

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

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {0.3333333333, -1}