24x^2+2x+7=0

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Solution for 24x^2+2x+7=0 equation: 


Simplifying
24x2 + 2x + 7 = 0

Reorder the terms:
7 + 2x + 24x2 = 0

Solving
7 + 2x + 24x2 = 0

Solving for variable 'x'.

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

Divide each side by '24'.
0.2916666667 + 0.08333333333x + x2 = 0

Move the constant term to the right:

Add '-0.2916666667' to each side of the equation.
0.2916666667 + 0.08333333333x + -0.2916666667 + x2 = 0 + -0.2916666667

Reorder the terms:
0.2916666667 + -0.2916666667 + 0.08333333333x + x2 = 0 + -0.2916666667

Combine like terms: 0.2916666667 + -0.2916666667 = 0.0000000000
0.0000000000 + 0.08333333333x + x2 = 0 + -0.2916666667
0.08333333333x + x2 = 0 + -0.2916666667

Combine like terms: 0 + -0.2916666667 = -0.2916666667
0.08333333333x + x2 = -0.2916666667

The x term is 0.08333333333x.  Take half its coefficient (0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
0.08333333333x + 0.001736111111 + x2 = -0.2916666667 + 0.001736111111

Reorder the terms:
0.001736111111 + 0.08333333333x + x2 = -0.2916666667 + 0.001736111111

Combine like terms: -0.2916666667 + 0.001736111111 = -0.289930555589
0.001736111111 + 0.08333333333x + x2 = -0.289930555589

Factor a perfect square on the left side:
(x + 0.04166666667)(x + 0.04166666667) = -0.289930555589

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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