(7y+8)(8y+15)=0

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Solution for (7y+8)(8y+15)=0 equation: 


Simplifying
(7y + 8)(8y + 15) = 0

Reorder the terms:
(8 + 7y)(8y + 15) = 0

Reorder the terms:
(8 + 7y)(15 + 8y) = 0

Multiply (8 + 7y) * (15 + 8y)
(8(15 + 8y) + 7y * (15 + 8y)) = 0
((15 * 8 + 8y * 8) + 7y * (15 + 8y)) = 0
((120 + 64y) + 7y * (15 + 8y)) = 0
(120 + 64y + (15 * 7y + 8y * 7y)) = 0
(120 + 64y + (105y + 56y2)) = 0

Combine like terms: 64y + 105y = 169y
(120 + 169y + 56y2) = 0

Solving
120 + 169y + 56y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(15 + 8y)(8 + 7y) = 0


Subproblem 1
Set the factor '(15 + 8y)' equal to zero and attempt to solve:

Simplifying
15 + 8y = 0

Solving
15 + 8y = 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 + 8y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8y = 0 + -15
8y = 0 + -15

Combine like terms: 0 + -15 = -15
8y = -15

Divide each side by '8'.
y = -1.875

Simplifying
y = -1.875

Subproblem 2
Set the factor '(8 + 7y)' equal to zero and attempt to solve:

Simplifying
8 + 7y = 0

Solving
8 + 7y = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7y = 0 + -8
7y = 0 + -8

Combine like terms: 0 + -8 = -8
7y = -8

Divide each side by '7'.
y = -1.142857143

Simplifying
y = -1.142857143
Solution
y = {-1.875, -1.142857143}

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