9y(y+3)=9y-5

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Solution for 9y(y+3)=9y-5 equation: 


Simplifying
9y(y + 3) = 9y + -5

Reorder the terms:
9y(3 + y) = 9y + -5
(3 * 9y + y * 9y) = 9y + -5
(27y + 9y2) = 9y + -5

Reorder the terms:
27y + 9y2 = -5 + 9y

Solving
27y + 9y2 = -5 + 9y

Solving for variable 'y'.

Reorder the terms:
5 + 27y + -9y + 9y2 = -5 + 9y + 5 + -9y

Combine like terms: 27y + -9y = 18y
5 + 18y + 9y2 = -5 + 9y + 5 + -9y

Reorder the terms:
5 + 18y + 9y2 = -5 + 5 + 9y + -9y

Combine like terms: -5 + 5 = 0
5 + 18y + 9y2 = 0 + 9y + -9y
5 + 18y + 9y2 = 9y + -9y

Combine like terms: 9y + -9y = 0
5 + 18y + 9y2 = 0

Factor a trinomial.
(5 + 3y)(1 + 3y) = 0


Subproblem 1
Set the factor '(5 + 3y)' equal to zero and attempt to solve:

Simplifying
5 + 3y = 0

Solving
5 + 3y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3y = 0 + -5
3y = 0 + -5

Combine like terms: 0 + -5 = -5
3y = -5

Divide each side by '3'.
y = -1.666666667

Simplifying
y = -1.666666667

Subproblem 2
Set the factor '(1 + 3y)' equal to zero and attempt to solve:

Simplifying
1 + 3y = 0

Solving
1 + 3y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3y = 0 + -1
3y = 0 + -1

Combine like terms: 0 + -1 = -1
3y = -1

Divide each side by '3'.
y = -0.3333333333

Simplifying
y = -0.3333333333
Solution
y = {-1.666666667, -0.3333333333}

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