(3y+19)(9y+25)=0

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Solution for (3y+19)(9y+25)=0 equation: 


Simplifying
(3y + 19)(9y + 25) = 0

Reorder the terms:
(19 + 3y)(9y + 25) = 0

Reorder the terms:
(19 + 3y)(25 + 9y) = 0

Multiply (19 + 3y) * (25 + 9y)
(19(25 + 9y) + 3y * (25 + 9y)) = 0
((25 * 19 + 9y * 19) + 3y * (25 + 9y)) = 0
((475 + 171y) + 3y * (25 + 9y)) = 0
(475 + 171y + (25 * 3y + 9y * 3y)) = 0
(475 + 171y + (75y + 27y2)) = 0

Combine like terms: 171y + 75y = 246y
(475 + 246y + 27y2) = 0

Solving
475 + 246y + 27y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(19 + 3y)(25 + 9y) = 0


Subproblem 1
Set the factor '(19 + 3y)' equal to zero and attempt to solve:

Simplifying
19 + 3y = 0

Solving
19 + 3y = 0

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

Add '-19' to each side of the equation.
19 + -19 + 3y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 3y = 0 + -19
3y = 0 + -19

Combine like terms: 0 + -19 = -19
3y = -19

Divide each side by '3'.
y = -6.333333333

Simplifying
y = -6.333333333

Subproblem 2
Set the factor '(25 + 9y)' equal to zero and attempt to solve:

Simplifying
25 + 9y = 0

Solving
25 + 9y = 0

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

Add '-25' to each side of the equation.
25 + -25 + 9y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 9y = 0 + -25
9y = 0 + -25

Combine like terms: 0 + -25 = -25
9y = -25

Divide each side by '9'.
y = -2.777777778

Simplifying
y = -2.777777778
Solution
y = {-6.333333333, -2.777777778}

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