4-3n+10n^2=0

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Solution for 4-3n+10n^2=0 equation:


Simplifying
4 + -3n + 10n2 = 0

Solving
4 + -3n + 10n2 = 0

Solving for variable 'n'.

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

Divide each side by '10'.
0.4 + -0.3n + n2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.3n + -0.4 + n2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.3n + n2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.3n + n2 = 0 + -0.4
-0.3n + n2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.3n + n2 = -0.4

The n term is -0.3n.  Take half its coefficient (-0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
-0.3n + 0.0225 + n2 = -0.4 + 0.0225

Reorder the terms:
0.0225 + -0.3n + n2 = -0.4 + 0.0225

Combine like terms: -0.4 + 0.0225 = -0.3775
0.0225 + -0.3n + n2 = -0.3775

Factor a perfect square on the left side:
(n + -0.15)(n + -0.15) = -0.3775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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