y(9y+8y-3)-6y(3y+2y-1)+9y=

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Solution for y(9y+8y-3)-6y(3y+2y-1)+9y= equation: 


Simplifying
y(9y + 8y + -3) + -6y(3y + 2y + -1) + 9y = 0

Reorder the terms:
y(-3 + 9y + 8y) + -6y(3y + 2y + -1) + 9y = 0

Combine like terms: 9y + 8y = 17y
y(-3 + 17y) + -6y(3y + 2y + -1) + 9y = 0
(-3 * y + 17y * y) + -6y(3y + 2y + -1) + 9y = 0
(-3y + 17y2) + -6y(3y + 2y + -1) + 9y = 0

Reorder the terms:
-3y + 17y2 + -6y(-1 + 3y + 2y) + 9y = 0

Combine like terms: 3y + 2y = 5y
-3y + 17y2 + -6y(-1 + 5y) + 9y = 0
-3y + 17y2 + (-1 * -6y + 5y * -6y) + 9y = 0
-3y + 17y2 + (6y + -30y2) + 9y = 0

Reorder the terms:
-3y + 6y + 9y + 17y2 + -30y2 = 0

Combine like terms: -3y + 6y = 3y
3y + 9y + 17y2 + -30y2 = 0

Combine like terms: 3y + 9y = 12y
12y + 17y2 + -30y2 = 0

Combine like terms: 17y2 + -30y2 = -13y2
12y + -13y2 = 0

Solving
12y + -13y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(12 + -13y) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(12 + -13y)' equal to zero and attempt to solve:

Simplifying
12 + -13y = 0

Solving
12 + -13y = 0

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

Add '-12' to each side of the equation.
12 + -12 + -13y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -13y = 0 + -12
-13y = 0 + -12

Combine like terms: 0 + -12 = -12
-13y = -12

Divide each side by '-13'.
y = 0.9230769231

Simplifying
y = 0.9230769231
Solution
y = {0, 0.9230769231}

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