9n^2+4=6n

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Solution for 9n^2+4=6n equation:


Simplifying
9n2 + 4 = 6n

Reorder the terms:
4 + 9n2 = 6n

Solving
4 + 9n2 = 6n

Solving for variable 'n'.

Reorder the terms:
4 + -6n + 9n2 = 6n + -6n

Combine like terms: 6n + -6n = 0
4 + -6n + 9n2 = 0

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

Divide each side by '9'.
0.4444444444 + -0.6666666667n + n2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -0.6666666667n + -0.4444444444 + n2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -0.6666666667n + n2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -0.6666666667n + n2 = 0 + -0.4444444444
-0.6666666667n + n2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-0.6666666667n + n2 = -0.4444444444

The n term is -0.6666666667n.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667n + 0.1111111112 + n2 = -0.4444444444 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667n + n2 = -0.4444444444 + 0.1111111112

Combine like terms: -0.4444444444 + 0.1111111112 = -0.3333333332
0.1111111112 + -0.6666666667n + n2 = -0.3333333332

Factor a perfect square on the left side:
(n + -0.3333333334)(n + -0.3333333334) = -0.3333333332

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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