(8y+19)(4y+15)=0

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Solution for (8y+19)(4y+15)=0 equation: 


Simplifying
(8y + 19)(4y + 15) = 0

Reorder the terms:
(19 + 8y)(4y + 15) = 0

Reorder the terms:
(19 + 8y)(15 + 4y) = 0

Multiply (19 + 8y) * (15 + 4y)
(19(15 + 4y) + 8y * (15 + 4y)) = 0
((15 * 19 + 4y * 19) + 8y * (15 + 4y)) = 0
((285 + 76y) + 8y * (15 + 4y)) = 0
(285 + 76y + (15 * 8y + 4y * 8y)) = 0
(285 + 76y + (120y + 32y2)) = 0

Combine like terms: 76y + 120y = 196y
(285 + 196y + 32y2) = 0

Solving
285 + 196y + 32y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(15 + 4y)(19 + 8y) = 0


Subproblem 1
Set the factor '(15 + 4y)' equal to zero and attempt to solve:

Simplifying
15 + 4y = 0

Solving
15 + 4y = 0

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

Add '-15' to each side of the equation.
15 + -15 + 4y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4y = 0 + -15
4y = 0 + -15

Combine like terms: 0 + -15 = -15
4y = -15

Divide each side by '4'.
y = -3.75

Simplifying
y = -3.75

Subproblem 2
Set the factor '(19 + 8y)' equal to zero and attempt to solve:

Simplifying
19 + 8y = 0

Solving
19 + 8y = 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 + 8y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 8y = 0 + -19
8y = 0 + -19

Combine like terms: 0 + -19 = -19
8y = -19

Divide each side by '8'.
y = -2.375

Simplifying
y = -2.375
Solution
y = {-3.75, -2.375}

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