(3y+5)(3y+14)=0

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Solution for (3y+5)(3y+14)=0 equation:


Simplifying
(3y + 5)(3y + 14) = 0

Reorder the terms:
(5 + 3y)(3y + 14) = 0

Reorder the terms:
(5 + 3y)(14 + 3y) = 0

Multiply (5 + 3y) * (14 + 3y)
(5(14 + 3y) + 3y * (14 + 3y)) = 0
((14 * 5 + 3y * 5) + 3y * (14 + 3y)) = 0
((70 + 15y) + 3y * (14 + 3y)) = 0
(70 + 15y + (14 * 3y + 3y * 3y)) = 0
(70 + 15y + (42y + 9y2)) = 0

Combine like terms: 15y + 42y = 57y
(70 + 57y + 9y2) = 0

Solving
70 + 57y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(14 + 3y)(5 + 3y) = 0


Subproblem 1
Set the factor '(14 + 3y)' equal to zero and attempt to solve:

Simplifying
14 + 3y = 0

Solving
14 + 3y = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3y = 0 + -14
3y = 0 + -14

Combine like terms: 0 + -14 = -14
3y = -14

Divide each side by '3'.
y = -4.666666667

Simplifying
y = -4.666666667

Subproblem 2
Set the factor '(5 + 3y)' equal to zero and attempt to solve:

Simplifying
5 + 3y = 0

Solving
5 + 3y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3y = 0 + -5
3y = 0 + -5

Combine like terms: 0 + -5 = -5
3y = -5

Divide each side by '3'.
y = -1.666666667

Simplifying
y = -1.666666667
Solution
y = {-4.666666667, -1.666666667}

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