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

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


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

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

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

Combine like terms: 9y + 14y = 23y
(63 + 23y + 2y2) = 0

Solving
63 + 23y + 2y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve:

Simplifying
7 + y = 0

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

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

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

Simplifying
y = -7

Subproblem 2
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
Solution
y = {-7, -4.5}

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