(y+1)*(y+2)=30

Solution for (y+1)*(y+2)=30 equation:

Simplifying
(y + 1)(y + 2) = 30

Reorder the terms:
(1 + y)(y + 2) = 30

Reorder the terms:
(1 + y)(2 + y) = 30

Multiply (1 + y) * (2 + y)
(1(2 + y) + y(2 + y)) = 30
((2 * 1 + y * 1) + y(2 + y)) = 30
((2 + 1y) + y(2 + y)) = 30
(2 + 1y + (2 * y + y * y)) = 30
(2 + 1y + (2y + y2)) = 30

Combine like terms: 1y + 2y = 3y
(2 + 3y + y2) = 30

Solving
2 + 3y + y2 = 30

Solving for variable 'y'.

Reorder the terms:
2 + -30 + 3y + y2 = 30 + -30

Combine like terms: 2 + -30 = -28
-28 + 3y + y2 = 30 + -30

Combine like terms: 30 + -30 = 0
-28 + 3y + y2 = 0

Factor a trinomial.
(-7 + -1y)(4 + -1y) = 0

Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7
Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-7, 4}