y=9y^2-24y+16

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Solution for y=9y^2-24y+16 equation: 


Simplifying
y = 9y2 + -24y + 16

Reorder the terms:
y = 16 + -24y + 9y2

Solving
y = 16 + -24y + 9y2

Solving for variable 'y'.

Reorder the terms:
-16 + y + 24y + -9y2 = 16 + -24y + 9y2 + -16 + 24y + -9y2

Combine like terms: y + 24y = 25y
-16 + 25y + -9y2 = 16 + -24y + 9y2 + -16 + 24y + -9y2

Reorder the terms:
-16 + 25y + -9y2 = 16 + -16 + -24y + 24y + 9y2 + -9y2

Combine like terms: 16 + -16 = 0
-16 + 25y + -9y2 = 0 + -24y + 24y + 9y2 + -9y2
-16 + 25y + -9y2 = -24y + 24y + 9y2 + -9y2

Combine like terms: -24y + 24y = 0
-16 + 25y + -9y2 = 0 + 9y2 + -9y2
-16 + 25y + -9y2 = 9y2 + -9y2

Combine like terms: 9y2 + -9y2 = 0
-16 + 25y + -9y2 = 0

Factor a trinomial.
(-16 + 9y)(1 + -1y) = 0


Subproblem 1
Set the factor '(-16 + 9y)' equal to zero and attempt to solve:

Simplifying
-16 + 9y = 0

Solving
-16 + 9y = 0

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

Add '16' to each side of the equation.
-16 + 16 + 9y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9y = 0 + 16
9y = 0 + 16

Combine like terms: 0 + 16 = 16
9y = 16

Divide each side by '9'.
y = 1.777777778

Simplifying
y = 1.777777778

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

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

Simplifying
y = 1
Solution
y = {1.777777778, 1}

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