(3y+28)(3y+22)=0

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Solution for (3y+28)(3y+22)=0 equation: 


Simplifying
(3y + 28)(3y + 22) = 0

Reorder the terms:
(28 + 3y)(3y + 22) = 0

Reorder the terms:
(28 + 3y)(22 + 3y) = 0

Multiply (28 + 3y) * (22 + 3y)
(28(22 + 3y) + 3y * (22 + 3y)) = 0
((22 * 28 + 3y * 28) + 3y * (22 + 3y)) = 0
((616 + 84y) + 3y * (22 + 3y)) = 0
(616 + 84y + (22 * 3y + 3y * 3y)) = 0
(616 + 84y + (66y + 9y2)) = 0

Combine like terms: 84y + 66y = 150y
(616 + 150y + 9y2) = 0

Solving
616 + 150y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(28 + 3y)(22 + 3y) = 0


Subproblem 1
Set the factor '(28 + 3y)' equal to zero and attempt to solve:

Simplifying
28 + 3y = 0

Solving
28 + 3y = 0

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

Add '-28' to each side of the equation.
28 + -28 + 3y = 0 + -28

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

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

Divide each side by '3'.
y = -9.333333333

Simplifying
y = -9.333333333

Subproblem 2
Set the factor '(22 + 3y)' equal to zero and attempt to solve:

Simplifying
22 + 3y = 0

Solving
22 + 3y = 0

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

Add '-22' to each side of the equation.
22 + -22 + 3y = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 3y = 0 + -22
3y = 0 + -22

Combine like terms: 0 + -22 = -22
3y = -22

Divide each side by '3'.
y = -7.333333333

Simplifying
y = -7.333333333
Solution
y = {-9.333333333, -7.333333333}

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