(6y+29)(3y+20)=0

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Solution for (6y+29)(3y+20)=0 equation: 


Simplifying
(6y + 29)(3y + 20) = 0

Reorder the terms:
(29 + 6y)(3y + 20) = 0

Reorder the terms:
(29 + 6y)(20 + 3y) = 0

Multiply (29 + 6y) * (20 + 3y)
(29(20 + 3y) + 6y * (20 + 3y)) = 0
((20 * 29 + 3y * 29) + 6y * (20 + 3y)) = 0
((580 + 87y) + 6y * (20 + 3y)) = 0
(580 + 87y + (20 * 6y + 3y * 6y)) = 0
(580 + 87y + (120y + 18y2)) = 0

Combine like terms: 87y + 120y = 207y
(580 + 207y + 18y2) = 0

Solving
580 + 207y + 18y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(20 + 3y)(29 + 6y) = 0


Subproblem 1
Set the factor '(20 + 3y)' equal to zero and attempt to solve:

Simplifying
20 + 3y = 0

Solving
20 + 3y = 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 + 3y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3y = 0 + -20
3y = 0 + -20

Combine like terms: 0 + -20 = -20
3y = -20

Divide each side by '3'.
y = -6.666666667

Simplifying
y = -6.666666667

Subproblem 2
Set the factor '(29 + 6y)' equal to zero and attempt to solve:

Simplifying
29 + 6y = 0

Solving
29 + 6y = 0

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

Add '-29' to each side of the equation.
29 + -29 + 6y = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 6y = 0 + -29
6y = 0 + -29

Combine like terms: 0 + -29 = -29
6y = -29

Divide each side by '6'.
y = -4.833333333

Simplifying
y = -4.833333333
Solution
y = {-6.666666667, -4.833333333}

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