2n^2-3n+7=0

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Solution for 2n^2-3n+7=0 equation:


Simplifying
2n2 + -3n + 7 = 0

Reorder the terms:
7 + -3n + 2n2 = 0

Solving
7 + -3n + 2n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
3.5 + -1.5n + n2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -1.5n + -3.5 + n2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -1.5n + n2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1.5n + n2 = 0 + -3.5
-1.5n + n2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-1.5n + n2 = -3.5

The n term is -1.5n.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5n + 0.5625 + n2 = -3.5 + 0.5625

Reorder the terms:
0.5625 + -1.5n + n2 = -3.5 + 0.5625

Combine like terms: -3.5 + 0.5625 = -2.9375
0.5625 + -1.5n + n2 = -2.9375

Factor a perfect square on the left side:
(n + -0.75)(n + -0.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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