2n^2-9n+2=2

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Solution for 2n^2-9n+2=2 equation: 


Simplifying
2n2 + -9n + 2 = 2

Reorder the terms:
2 + -9n + 2n2 = 2

Add '-2' to each side of the equation.
2 + -9n + -2 + 2n2 = 2 + -2

Reorder the terms:
2 + -2 + -9n + 2n2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + -9n + 2n2 = 2 + -2
-9n + 2n2 = 2 + -2

Combine like terms: 2 + -2 = 0
-9n + 2n2 = 0

Solving
-9n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-9 + 2n) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

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

Simplifying
-9 + 2n = 0

Solving
-9 + 2n = 0

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

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

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

Combine like terms: 0 + 9 = 9
2n = 9

Divide each side by '2'.
n = 4.5

Simplifying
n = 4.5
Solution
n = {0, 4.5}

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