(9y+19)(4y+20)=0

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Solution for (9y+19)(4y+20)=0 equation: 


Simplifying
(9y + 19)(4y + 20) = 0

Reorder the terms:
(19 + 9y)(4y + 20) = 0

Reorder the terms:
(19 + 9y)(20 + 4y) = 0

Multiply (19 + 9y) * (20 + 4y)
(19(20 + 4y) + 9y * (20 + 4y)) = 0
((20 * 19 + 4y * 19) + 9y * (20 + 4y)) = 0
((380 + 76y) + 9y * (20 + 4y)) = 0
(380 + 76y + (20 * 9y + 4y * 9y)) = 0
(380 + 76y + (180y + 36y2)) = 0

Combine like terms: 76y + 180y = 256y
(380 + 256y + 36y2) = 0

Solving
380 + 256y + 36y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(95 + 64y + 9y2) = 0

Factor a trinomial.
4((5 + y)(19 + 9y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve:

Simplifying
5 + y = 0

Solving
5 + y = 0

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

Add '-5' to each side of the equation.
5 + -5 + y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + y = 0 + -5
y = 0 + -5

Combine like terms: 0 + -5 = -5
y = -5

Simplifying
y = -5

Subproblem 2
Set the factor '(19 + 9y)' equal to zero and attempt to solve:

Simplifying
19 + 9y = 0

Solving
19 + 9y = 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 + 9y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 9y = 0 + -19
9y = 0 + -19

Combine like terms: 0 + -19 = -19
9y = -19

Divide each side by '9'.
y = -2.111111111

Simplifying
y = -2.111111111
Solution
y = {-5, -2.111111111}

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