(15y+2)(4y+11)=0

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Solution for (15y+2)(4y+11)=0 equation: 


Simplifying
(15y + 2)(4y + 11) = 0

Reorder the terms:
(2 + 15y)(4y + 11) = 0

Reorder the terms:
(2 + 15y)(11 + 4y) = 0

Multiply (2 + 15y) * (11 + 4y)
(2(11 + 4y) + 15y * (11 + 4y)) = 0
((11 * 2 + 4y * 2) + 15y * (11 + 4y)) = 0
((22 + 8y) + 15y * (11 + 4y)) = 0
(22 + 8y + (11 * 15y + 4y * 15y)) = 0
(22 + 8y + (165y + 60y2)) = 0

Combine like terms: 8y + 165y = 173y
(22 + 173y + 60y2) = 0

Solving
22 + 173y + 60y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + 4y)(2 + 15y) = 0


Subproblem 1
Set the factor '(11 + 4y)' equal to zero and attempt to solve:

Simplifying
11 + 4y = 0

Solving
11 + 4y = 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 + 4y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4y = 0 + -11
4y = 0 + -11

Combine like terms: 0 + -11 = -11
4y = -11

Divide each side by '4'.
y = -2.75

Simplifying
y = -2.75

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

Simplifying
2 + 15y = 0

Solving
2 + 15y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 15y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 15y = 0 + -2
15y = 0 + -2

Combine like terms: 0 + -2 = -2
15y = -2

Divide each side by '15'.
y = -0.1333333333

Simplifying
y = -0.1333333333
Solution
y = {-2.75, -0.1333333333}

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