(4y+7)(3y+11)=0

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Solution for (4y+7)(3y+11)=0 equation: 


Simplifying
(4y + 7)(3y + 11) = 0

Reorder the terms:
(7 + 4y)(3y + 11) = 0

Reorder the terms:
(7 + 4y)(11 + 3y) = 0

Multiply (7 + 4y) * (11 + 3y)
(7(11 + 3y) + 4y * (11 + 3y)) = 0
((11 * 7 + 3y * 7) + 4y * (11 + 3y)) = 0
((77 + 21y) + 4y * (11 + 3y)) = 0
(77 + 21y + (11 * 4y + 3y * 4y)) = 0
(77 + 21y + (44y + 12y2)) = 0

Combine like terms: 21y + 44y = 65y
(77 + 65y + 12y2) = 0

Solving
77 + 65y + 12y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + 3y)(7 + 4y) = 0


Subproblem 1
Set the factor '(11 + 3y)' equal to zero and attempt to solve:

Simplifying
11 + 3y = 0

Solving
11 + 3y = 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 + 3y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3y = 0 + -11
3y = 0 + -11

Combine like terms: 0 + -11 = -11
3y = -11

Divide each side by '3'.
y = -3.666666667

Simplifying
y = -3.666666667

Subproblem 2
Set the factor '(7 + 4y)' equal to zero and attempt to solve:

Simplifying
7 + 4y = 0

Solving
7 + 4y = 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 + 4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = 0 + -7
4y = 0 + -7

Combine like terms: 0 + -7 = -7
4y = -7

Divide each side by '4'.
y = -1.75

Simplifying
y = -1.75
Solution
y = {-3.666666667, -1.75}

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