(8y+13)(5y+29)=0

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Solution for (8y+13)(5y+29)=0 equation: 


Simplifying
(8y + 13)(5y + 29) = 0

Reorder the terms:
(13 + 8y)(5y + 29) = 0

Reorder the terms:
(13 + 8y)(29 + 5y) = 0

Multiply (13 + 8y) * (29 + 5y)
(13(29 + 5y) + 8y * (29 + 5y)) = 0
((29 * 13 + 5y * 13) + 8y * (29 + 5y)) = 0
((377 + 65y) + 8y * (29 + 5y)) = 0
(377 + 65y + (29 * 8y + 5y * 8y)) = 0
(377 + 65y + (232y + 40y2)) = 0

Combine like terms: 65y + 232y = 297y
(377 + 297y + 40y2) = 0

Solving
377 + 297y + 40y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(29 + 5y)(13 + 8y) = 0


Subproblem 1
Set the factor '(29 + 5y)' equal to zero and attempt to solve:

Simplifying
29 + 5y = 0

Solving
29 + 5y = 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 + 5y = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 5y = 0 + -29
5y = 0 + -29

Combine like terms: 0 + -29 = -29
5y = -29

Divide each side by '5'.
y = -5.8

Simplifying
y = -5.8

Subproblem 2
Set the factor '(13 + 8y)' equal to zero and attempt to solve:

Simplifying
13 + 8y = 0

Solving
13 + 8y = 0

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

Add '-13' to each side of the equation.
13 + -13 + 8y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 8y = 0 + -13
8y = 0 + -13

Combine like terms: 0 + -13 = -13
8y = -13

Divide each side by '8'.
y = -1.625

Simplifying
y = -1.625
Solution
y = {-5.8, -1.625}

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