4n^2-10n+18=9

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Solution for 4n^2-10n+18=9 equation:


Simplifying
4n2 + -10n + 18 = 9

Reorder the terms:
18 + -10n + 4n2 = 9

Solving
18 + -10n + 4n2 = 9

Solving for variable 'n'.

Reorder the terms:
18 + -9 + -10n + 4n2 = 9 + -9

Combine like terms: 18 + -9 = 9
9 + -10n + 4n2 = 9 + -9

Combine like terms: 9 + -9 = 0
9 + -10n + 4n2 = 0

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

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

Move the constant term to the right:

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

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

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -2.5n + n2 = 0 + -2.25
-2.5n + n2 = 0 + -2.25

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

The n term is -2.5n.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5n + 1.5625 + n2 = -2.25 + 1.5625

Reorder the terms:
1.5625 + -2.5n + n2 = -2.25 + 1.5625

Combine like terms: -2.25 + 1.5625 = -0.6875
1.5625 + -2.5n + n2 = -0.6875

Factor a perfect square on the left side:
(n + -1.25)(n + -1.25) = -0.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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