35n*35n+22n+3=0

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Solution for 35n*35n+22n+3=0 equation: 


Simplifying
35n * 35n + 22n + 3 = 0

Reorder the terms for easier multiplication:
35 * 35n * n + 22n + 3 = 0

Multiply 35 * 35
1225n * n + 22n + 3 = 0

Multiply n * n
1225n2 + 22n + 3 = 0

Reorder the terms:
3 + 22n + 1225n2 = 0

Solving
3 + 22n + 1225n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
1225 the coefficient of the squared term: 

Divide each side by '1225'.
0.002448979592 + 0.01795918367n + n2 = 0

Move the constant term to the right:

Add '-0.002448979592' to each side of the equation.
0.002448979592 + 0.01795918367n + -0.002448979592 + n2 = 0 + -0.002448979592

Reorder the terms:
0.002448979592 + -0.002448979592 + 0.01795918367n + n2 = 0 + -0.002448979592

Combine like terms: 0.002448979592 + -0.002448979592 = 0.000000000000
0.000000000000 + 0.01795918367n + n2 = 0 + -0.002448979592
0.01795918367n + n2 = 0 + -0.002448979592

Combine like terms: 0 + -0.002448979592 = -0.002448979592
0.01795918367n + n2 = -0.002448979592

The n term is 0.01795918367n.  Take half its coefficient (0.008979591835).
Square it (0.00008063306952) and add it to both sides.

Add '0.00008063306952' to each side of the equation.
0.01795918367n + 0.00008063306952 + n2 = -0.002448979592 + 0.00008063306952

Reorder the terms:
0.00008063306952 + 0.01795918367n + n2 = -0.002448979592 + 0.00008063306952

Combine like terms: -0.002448979592 + 0.00008063306952 = -0.00236834652248
0.00008063306952 + 0.01795918367n + n2 = -0.00236834652248

Factor a perfect square on the left side:
(n + 0.008979591835)(n + 0.008979591835) = -0.00236834652248

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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