(3y-7)(9+y)=0

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Solution for (3y-7)(9+y)=0 equation: 


Simplifying
(3y + -7)(9 + y) = 0

Reorder the terms:
(-7 + 3y)(9 + y) = 0

Multiply (-7 + 3y) * (9 + y)
(-7(9 + y) + 3y * (9 + y)) = 0
((9 * -7 + y * -7) + 3y * (9 + y)) = 0
((-63 + -7y) + 3y * (9 + y)) = 0
(-63 + -7y + (9 * 3y + y * 3y)) = 0
(-63 + -7y + (27y + 3y2)) = 0

Combine like terms: -7y + 27y = 20y
(-63 + 20y + 3y2) = 0

Solving
-63 + 20y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-9 + -1y)(7 + -3y) = 0


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

Simplifying
-9 + -1y = 0

Solving
-9 + -1y = 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 + -1y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = 0 + 9
-1y = 0 + 9

Combine like terms: 0 + 9 = 9
-1y = 9

Divide each side by '-1'.
y = -9

Simplifying
y = -9

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 = {-9, 2.333333333}

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