(y-1)(y+2y+1)=

Solution for (y-1)(y+2y+1)= equation:

Simplifying
(y + -1)(y + 2y + 1) = 0

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

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

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

Multiply (-1 + y) * (1 + 3y)
(-1(1 + 3y) + y(1 + 3y)) = 0
((1 * -1 + 3y * -1) + y(1 + 3y)) = 0
((-1 + -3y) + y(1 + 3y)) = 0
(-1 + -3y + (1 * y + 3y * y)) = 0
(-1 + -3y + (1y + 3y2)) = 0

Combine like terms: -3y + 1y = -2y
(-1 + -2y + 3y2) = 0

Solving
-1 + -2y + 3y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-1 + -3y = 0

Solving
-1 + -3y = 0

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

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

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

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

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

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

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