(5y+13)(4y+29)=0

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Solution for (5y+13)(4y+29)=0 equation: 


Simplifying
(5y + 13)(4y + 29) = 0

Reorder the terms:
(13 + 5y)(4y + 29) = 0

Reorder the terms:
(13 + 5y)(29 + 4y) = 0

Multiply (13 + 5y) * (29 + 4y)
(13(29 + 4y) + 5y * (29 + 4y)) = 0
((29 * 13 + 4y * 13) + 5y * (29 + 4y)) = 0
((377 + 52y) + 5y * (29 + 4y)) = 0
(377 + 52y + (29 * 5y + 4y * 5y)) = 0
(377 + 52y + (145y + 20y2)) = 0

Combine like terms: 52y + 145y = 197y
(377 + 197y + 20y2) = 0

Solving
377 + 197y + 20y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(29 + 4y)(13 + 5y) = 0


Subproblem 1
Set the factor '(29 + 4y)' equal to zero and attempt to solve:

Simplifying
29 + 4y = 0

Solving
29 + 4y = 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 + 4y = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 4y = 0 + -29
4y = 0 + -29

Combine like terms: 0 + -29 = -29
4y = -29

Divide each side by '4'.
y = -7.25

Simplifying
y = -7.25

Subproblem 2
Set the factor '(13 + 5y)' equal to zero and attempt to solve:

Simplifying
13 + 5y = 0

Solving
13 + 5y = 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 + 5y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 5y = 0 + -13
5y = 0 + -13

Combine like terms: 0 + -13 = -13
5y = -13

Divide each side by '5'.
y = -2.6

Simplifying
y = -2.6
Solution
y = {-7.25, -2.6}

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