(7y+13)(4y+29)=0

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Solution for (7y+13)(4y+29)=0 equation: 


Simplifying
(7y + 13)(4y + 29) = 0

Reorder the terms:
(13 + 7y)(4y + 29) = 0

Reorder the terms:
(13 + 7y)(29 + 4y) = 0

Multiply (13 + 7y) * (29 + 4y)
(13(29 + 4y) + 7y * (29 + 4y)) = 0
((29 * 13 + 4y * 13) + 7y * (29 + 4y)) = 0
((377 + 52y) + 7y * (29 + 4y)) = 0
(377 + 52y + (29 * 7y + 4y * 7y)) = 0
(377 + 52y + (203y + 28y2)) = 0

Combine like terms: 52y + 203y = 255y
(377 + 255y + 28y2) = 0

Solving
377 + 255y + 28y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(29 + 4y)(13 + 7y) = 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 + 7y)' equal to zero and attempt to solve:

Simplifying
13 + 7y = 0

Solving
13 + 7y = 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 + 7y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 7y = 0 + -13
7y = 0 + -13

Combine like terms: 0 + -13 = -13
7y = -13

Divide each side by '7'.
y = -1.857142857

Simplifying
y = -1.857142857
Solution
y = {-7.25, -1.857142857}

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