2n(2n)-9n+10=0

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Solution for 2n(2n)-9n+10=0 equation:


Simplifying
2n(2n) + -9n + 10 = 0

Remove parenthesis around (2n)
2n * 2n + -9n + 10 = 0

Reorder the terms for easier multiplication:
2 * 2n * n + -9n + 10 = 0

Multiply 2 * 2
4n * n + -9n + 10 = 0

Multiply n * n
4n2 + -9n + 10 = 0

Reorder the terms:
10 + -9n + 4n2 = 0

Solving
10 + -9n + 4n2 = 0

Solving for variable 'n'.

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

Divide each side by '4'.
2.5 + -2.25n + n2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2.25n + -2.5 + n2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2.25n + n2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.25n + n2 = 0 + -2.5
-2.25n + n2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2.25n + n2 = -2.5

The n term is -2.25n.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25n + 1.265625 + n2 = -2.5 + 1.265625

Reorder the terms:
1.265625 + -2.25n + n2 = -2.5 + 1.265625

Combine like terms: -2.5 + 1.265625 = -1.234375
1.265625 + -2.25n + n2 = -1.234375

Factor a perfect square on the left side:
(n + -1.125)(n + -1.125) = -1.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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