(12y+11)(15y+7)=0

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Solution for (12y+11)(15y+7)=0 equation: 


Simplifying
(12y + 11)(15y + 7) = 0

Reorder the terms:
(11 + 12y)(15y + 7) = 0

Reorder the terms:
(11 + 12y)(7 + 15y) = 0

Multiply (11 + 12y) * (7 + 15y)
(11(7 + 15y) + 12y * (7 + 15y)) = 0
((7 * 11 + 15y * 11) + 12y * (7 + 15y)) = 0
((77 + 165y) + 12y * (7 + 15y)) = 0
(77 + 165y + (7 * 12y + 15y * 12y)) = 0
(77 + 165y + (84y + 180y2)) = 0

Combine like terms: 165y + 84y = 249y
(77 + 249y + 180y2) = 0

Solving
77 + 249y + 180y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + 12y)(7 + 15y) = 0


Subproblem 1
Set the factor '(11 + 12y)' equal to zero and attempt to solve:

Simplifying
11 + 12y = 0

Solving
11 + 12y = 0

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

Add '-11' to each side of the equation.
11 + -11 + 12y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 12y = 0 + -11
12y = 0 + -11

Combine like terms: 0 + -11 = -11
12y = -11

Divide each side by '12'.
y = -0.9166666667

Simplifying
y = -0.9166666667

Subproblem 2
Set the factor '(7 + 15y)' equal to zero and attempt to solve:

Simplifying
7 + 15y = 0

Solving
7 + 15y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 15y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 15y = 0 + -7
15y = 0 + -7

Combine like terms: 0 + -7 = -7
15y = -7

Divide each side by '15'.
y = -0.4666666667

Simplifying
y = -0.4666666667
Solution
y = {-0.9166666667, -0.4666666667}

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