9(y^2)-15y+5=y+9

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Solution for 9(y^2)-15y+5=y+9 equation: 


Simplifying
9(y2) + -15y + 5 = y + 9

Reorder the terms:
5 + -15y + 9y2 = y + 9

Reorder the terms:
5 + -15y + 9y2 = 9 + y

Solving
5 + -15y + 9y2 = 9 + y

Solving for variable 'y'.

Reorder the terms:
5 + -9 + -15y + -1y + 9y2 = 9 + y + -9 + -1y

Combine like terms: 5 + -9 = -4
-4 + -15y + -1y + 9y2 = 9 + y + -9 + -1y

Combine like terms: -15y + -1y = -16y
-4 + -16y + 9y2 = 9 + y + -9 + -1y

Reorder the terms:
-4 + -16y + 9y2 = 9 + -9 + y + -1y

Combine like terms: 9 + -9 = 0
-4 + -16y + 9y2 = 0 + y + -1y
-4 + -16y + 9y2 = y + -1y

Combine like terms: y + -1y = 0
-4 + -16y + 9y2 = 0

Factor a trinomial.
(-2 + -9y)(2 + -1y) = 0


Subproblem 1
Set the factor '(-2 + -9y)' equal to zero and attempt to solve:

Simplifying
-2 + -9y = 0

Solving
-2 + -9y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -9y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9y = 0 + 2
-9y = 0 + 2

Combine like terms: 0 + 2 = 2
-9y = 2

Divide each side by '-9'.
y = -0.2222222222

Simplifying
y = -0.2222222222

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-0.2222222222, 2}

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