(2+y)(3y+7)=0

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Solution for (2+y)(3y+7)=0 equation: 


Simplifying
(2 + y)(3y + 7) = 0

Reorder the terms:
(2 + y)(7 + 3y) = 0

Multiply (2 + y) * (7 + 3y)
(2(7 + 3y) + y(7 + 3y)) = 0
((7 * 2 + 3y * 2) + y(7 + 3y)) = 0
((14 + 6y) + y(7 + 3y)) = 0
(14 + 6y + (7 * y + 3y * y)) = 0
(14 + 6y + (7y + 3y2)) = 0

Combine like terms: 6y + 7y = 13y
(14 + 13y + 3y2) = 0

Solving
14 + 13y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + 3y)(2 + y) = 0


Subproblem 1
Set the factor '(7 + 3y)' equal to zero and attempt to solve:

Simplifying
7 + 3y = 0

Solving
7 + 3y = 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 + 3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3y = 0 + -7
3y = 0 + -7

Combine like terms: 0 + -7 = -7
3y = -7

Divide each side by '3'.
y = -2.333333333

Simplifying
y = -2.333333333

Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {-2.333333333, -2}

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