(3y+7)(4y+29)=0

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Solution for (3y+7)(4y+29)=0 equation: 


Simplifying
(3y + 7)(4y + 29) = 0

Reorder the terms:
(7 + 3y)(4y + 29) = 0

Reorder the terms:
(7 + 3y)(29 + 4y) = 0

Multiply (7 + 3y) * (29 + 4y)
(7(29 + 4y) + 3y * (29 + 4y)) = 0
((29 * 7 + 4y * 7) + 3y * (29 + 4y)) = 0
((203 + 28y) + 3y * (29 + 4y)) = 0
(203 + 28y + (29 * 3y + 4y * 3y)) = 0
(203 + 28y + (87y + 12y2)) = 0

Combine like terms: 28y + 87y = 115y
(203 + 115y + 12y2) = 0

Solving
203 + 115y + 12y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(29 + 4y)(7 + 3y) = 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 '(7 + 3y)' equal to zero and attempt to solve:

Simplifying
7 + 3y = 0

Solving
7 + 3y = 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 + 3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3y = 0 + -7
3y = 0 + -7

Combine like terms: 0 + -7 = -7
3y = -7

Divide each side by '3'.
y = -2.333333333

Simplifying
y = -2.333333333
Solution
y = {-7.25, -2.333333333}

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