(3y+16)(7y+18)=0

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Solution for (3y+16)(7y+18)=0 equation: 


Simplifying
(3y + 16)(7y + 18) = 0

Reorder the terms:
(16 + 3y)(7y + 18) = 0

Reorder the terms:
(16 + 3y)(18 + 7y) = 0

Multiply (16 + 3y) * (18 + 7y)
(16(18 + 7y) + 3y * (18 + 7y)) = 0
((18 * 16 + 7y * 16) + 3y * (18 + 7y)) = 0
((288 + 112y) + 3y * (18 + 7y)) = 0
(288 + 112y + (18 * 3y + 7y * 3y)) = 0
(288 + 112y + (54y + 21y2)) = 0

Combine like terms: 112y + 54y = 166y
(288 + 166y + 21y2) = 0

Solving
288 + 166y + 21y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(16 + 3y)(18 + 7y) = 0


Subproblem 1
Set the factor '(16 + 3y)' equal to zero and attempt to solve:

Simplifying
16 + 3y = 0

Solving
16 + 3y = 0

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

Add '-16' to each side of the equation.
16 + -16 + 3y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3y = 0 + -16
3y = 0 + -16

Combine like terms: 0 + -16 = -16
3y = -16

Divide each side by '3'.
y = -5.333333333

Simplifying
y = -5.333333333

Subproblem 2
Set the factor '(18 + 7y)' equal to zero and attempt to solve:

Simplifying
18 + 7y = 0

Solving
18 + 7y = 0

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

Add '-18' to each side of the equation.
18 + -18 + 7y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 7y = 0 + -18
7y = 0 + -18

Combine like terms: 0 + -18 = -18
7y = -18

Divide each side by '7'.
y = -2.571428571

Simplifying
y = -2.571428571
Solution
y = {-5.333333333, -2.571428571}

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