(9y+20)(2y+7)=0

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Solution for (9y+20)(2y+7)=0 equation: 


Simplifying
(9y + 20)(2y + 7) = 0

Reorder the terms:
(20 + 9y)(2y + 7) = 0

Reorder the terms:
(20 + 9y)(7 + 2y) = 0

Multiply (20 + 9y) * (7 + 2y)
(20(7 + 2y) + 9y * (7 + 2y)) = 0
((7 * 20 + 2y * 20) + 9y * (7 + 2y)) = 0
((140 + 40y) + 9y * (7 + 2y)) = 0
(140 + 40y + (7 * 9y + 2y * 9y)) = 0
(140 + 40y + (63y + 18y2)) = 0

Combine like terms: 40y + 63y = 103y
(140 + 103y + 18y2) = 0

Solving
140 + 103y + 18y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + 2y)(20 + 9y) = 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 '(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 = {-3.5, -2.222222222}

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