(9y+14)(2y+19)=0

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Solution for (9y+14)(2y+19)=0 equation: 


Simplifying
(9y + 14)(2y + 19) = 0

Reorder the terms:
(14 + 9y)(2y + 19) = 0

Reorder the terms:
(14 + 9y)(19 + 2y) = 0

Multiply (14 + 9y) * (19 + 2y)
(14(19 + 2y) + 9y * (19 + 2y)) = 0
((19 * 14 + 2y * 14) + 9y * (19 + 2y)) = 0
((266 + 28y) + 9y * (19 + 2y)) = 0
(266 + 28y + (19 * 9y + 2y * 9y)) = 0
(266 + 28y + (171y + 18y2)) = 0

Combine like terms: 28y + 171y = 199y
(266 + 199y + 18y2) = 0

Solving
266 + 199y + 18y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(19 + 2y)(14 + 9y) = 0


Subproblem 1
Set the factor '(19 + 2y)' equal to zero and attempt to solve:

Simplifying
19 + 2y = 0

Solving
19 + 2y = 0

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

Add '-19' to each side of the equation.
19 + -19 + 2y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 2y = 0 + -19
2y = 0 + -19

Combine like terms: 0 + -19 = -19
2y = -19

Divide each side by '2'.
y = -9.5

Simplifying
y = -9.5

Subproblem 2
Set the factor '(14 + 9y)' equal to zero and attempt to solve:

Simplifying
14 + 9y = 0

Solving
14 + 9y = 0

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

Add '-14' to each side of the equation.
14 + -14 + 9y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 9y = 0 + -14
9y = 0 + -14

Combine like terms: 0 + -14 = -14
9y = -14

Divide each side by '9'.
y = -1.555555556

Simplifying
y = -1.555555556
Solution
y = {-9.5, -1.555555556}

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