(y-7)(9y+23)=0

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Solution for (y-7)(9y+23)=0 equation: 


Simplifying
(y + -7)(9y + 23) = 0

Reorder the terms:
(-7 + y)(9y + 23) = 0

Reorder the terms:
(-7 + y)(23 + 9y) = 0

Multiply (-7 + y) * (23 + 9y)
(-7(23 + 9y) + y(23 + 9y)) = 0
((23 * -7 + 9y * -7) + y(23 + 9y)) = 0
((-161 + -63y) + y(23 + 9y)) = 0
(-161 + -63y + (23 * y + 9y * y)) = 0
(-161 + -63y + (23y + 9y2)) = 0

Combine like terms: -63y + 23y = -40y
(-161 + -40y + 9y2) = 0

Solving
-161 + -40y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-23 + -9y)(7 + -1y) = 0


Subproblem 1
Set the factor '(-23 + -9y)' equal to zero and attempt to solve:

Simplifying
-23 + -9y = 0

Solving
-23 + -9y = 0

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

Add '23' to each side of the equation.
-23 + 23 + -9y = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -9y = 0 + 23
-9y = 0 + 23

Combine like terms: 0 + 23 = 23
-9y = 23

Divide each side by '-9'.
y = -2.555555556

Simplifying
y = -2.555555556

Subproblem 2
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
Solution
y = {-2.555555556, 7}

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