(9y+20)(6y+19)=0

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Solution for (9y+20)(6y+19)=0 equation: 


Simplifying
(9y + 20)(6y + 19) = 0

Reorder the terms:
(20 + 9y)(6y + 19) = 0

Reorder the terms:
(20 + 9y)(19 + 6y) = 0

Multiply (20 + 9y) * (19 + 6y)
(20(19 + 6y) + 9y * (19 + 6y)) = 0
((19 * 20 + 6y * 20) + 9y * (19 + 6y)) = 0
((380 + 120y) + 9y * (19 + 6y)) = 0
(380 + 120y + (19 * 9y + 6y * 9y)) = 0
(380 + 120y + (171y + 54y2)) = 0

Combine like terms: 120y + 171y = 291y
(380 + 291y + 54y2) = 0

Solving
380 + 291y + 54y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(19 + 6y)(20 + 9y) = 0


Subproblem 1
Set the factor '(19 + 6y)' equal to zero and attempt to solve:

Simplifying
19 + 6y = 0

Solving
19 + 6y = 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 + 6y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 6y = 0 + -19
6y = 0 + -19

Combine like terms: 0 + -19 = -19
6y = -19

Divide each side by '6'.
y = -3.166666667

Simplifying
y = -3.166666667

Subproblem 2
Set the factor '(20 + 9y)' equal to zero and attempt to solve:

Simplifying
20 + 9y = 0

Solving
20 + 9y = 0

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

Add '-20' to each side of the equation.
20 + -20 + 9y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 9y = 0 + -20
9y = 0 + -20

Combine like terms: 0 + -20 = -20
9y = -20

Divide each side by '9'.
y = -2.222222222

Simplifying
y = -2.222222222
Solution
y = {-3.166666667, -2.222222222}

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