(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 = 5y
(-63 + 5y + 2y2) = 0

Solving
-63 + 5y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(9 + -2y) = 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 + -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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