(7y+29)(2y+9)=0

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Solution for (7y+29)(2y+9)=0 equation: 


Simplifying
(7y + 29)(2y + 9) = 0

Reorder the terms:
(29 + 7y)(2y + 9) = 0

Reorder the terms:
(29 + 7y)(9 + 2y) = 0

Multiply (29 + 7y) * (9 + 2y)
(29(9 + 2y) + 7y * (9 + 2y)) = 0
((9 * 29 + 2y * 29) + 7y * (9 + 2y)) = 0
((261 + 58y) + 7y * (9 + 2y)) = 0
(261 + 58y + (9 * 7y + 2y * 7y)) = 0
(261 + 58y + (63y + 14y2)) = 0

Combine like terms: 58y + 63y = 121y
(261 + 121y + 14y2) = 0

Solving
261 + 121y + 14y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + 2y)(29 + 7y) = 0


Subproblem 1
Set the factor '(9 + 2y)' equal to zero and attempt to solve:

Simplifying
9 + 2y = 0

Solving
9 + 2y = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = 0 + -9
2y = 0 + -9

Combine like terms: 0 + -9 = -9
2y = -9

Divide each side by '2'.
y = -4.5

Simplifying
y = -4.5

Subproblem 2
Set the factor '(29 + 7y)' equal to zero and attempt to solve:

Simplifying
29 + 7y = 0

Solving
29 + 7y = 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 + 7y = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 7y = 0 + -29
7y = 0 + -29

Combine like terms: 0 + -29 = -29
7y = -29

Divide each side by '7'.
y = -4.142857143

Simplifying
y = -4.142857143
Solution
y = {-4.5, -4.142857143}

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