(5y+9)(7-y)=0

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Solution for (5y+9)(7-y)=0 equation: 


Simplifying
(5y + 9)(7 + -1y) = 0

Reorder the terms:
(9 + 5y)(7 + -1y) = 0

Multiply (9 + 5y) * (7 + -1y)
(9(7 + -1y) + 5y * (7 + -1y)) = 0
((7 * 9 + -1y * 9) + 5y * (7 + -1y)) = 0
((63 + -9y) + 5y * (7 + -1y)) = 0
(63 + -9y + (7 * 5y + -1y * 5y)) = 0
(63 + -9y + (35y + -5y2)) = 0

Combine like terms: -9y + 35y = 26y
(63 + 26y + -5y2) = 0

Solving
63 + 26y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -1y)(9 + 5y) = 0


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

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

Subproblem 2
Set the factor '(9 + 5y)' equal to zero and attempt to solve:

Simplifying
9 + 5y = 0

Solving
9 + 5y = 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 + 5y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5y = 0 + -9
5y = 0 + -9

Combine like terms: 0 + -9 = -9
5y = -9

Divide each side by '5'.
y = -1.8

Simplifying
y = -1.8
Solution
y = {7, -1.8}

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