(11y+4)(2y+7)=

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Solution for (11y+4)(2y+7)= equation: 


Simplifying
(11y + 4)(2y + 7) = 0

Reorder the terms:
(4 + 11y)(2y + 7) = 0

Reorder the terms:
(4 + 11y)(7 + 2y) = 0

Multiply (4 + 11y) * (7 + 2y)
(4(7 + 2y) + 11y * (7 + 2y)) = 0
((7 * 4 + 2y * 4) + 11y * (7 + 2y)) = 0
((28 + 8y) + 11y * (7 + 2y)) = 0
(28 + 8y + (7 * 11y + 2y * 11y)) = 0
(28 + 8y + (77y + 22y2)) = 0

Combine like terms: 8y + 77y = 85y
(28 + 85y + 22y2) = 0

Solving
28 + 85y + 22y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + 2y)(4 + 11y) = 0


Subproblem 1
Set the factor '(7 + 2y)' equal to zero and attempt to solve:

Simplifying
7 + 2y = 0

Solving
7 + 2y = 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 + 2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 0 + -7
2y = 0 + -7

Combine like terms: 0 + -7 = -7
2y = -7

Divide each side by '2'.
y = -3.5

Simplifying
y = -3.5

Subproblem 2
Set the factor '(4 + 11y)' equal to zero and attempt to solve:

Simplifying
4 + 11y = 0

Solving
4 + 11y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 11y = 0 + -4

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

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

Divide each side by '11'.
y = -0.3636363636

Simplifying
y = -0.3636363636
Solution
y = {-3.5, -0.3636363636}

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