(x*2+x+1)(x-1)=

Solution for (x*2+x+1)(x-1)= equation:

Simplifying
(x * 2 + x + 1)(x + -1) = 0

Reorder the terms for easier multiplication:
(2x + x + 1)(x + -1) = 0

Reorder the terms:
(1 + 2x + x)(x + -1) = 0

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

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

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

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

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

Solving for variable 'x'.

Factor a trinomial.
(-1 + -3x)(1 + -1x) = 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 + -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
Solution
x = {-0.3333333333, 1}