12x^2-x+154=0

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Solution for 12x^2-x+154=0 equation:


Simplifying
12x2 + -1x + 154 = 0

Reorder the terms:
154 + -1x + 12x2 = 0

Solving
154 + -1x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
12.83333333 + -0.08333333333x + x2 = 0

Move the constant term to the right:

Add '-12.83333333' to each side of the equation.
12.83333333 + -0.08333333333x + -12.83333333 + x2 = 0 + -12.83333333

Reorder the terms:
12.83333333 + -12.83333333 + -0.08333333333x + x2 = 0 + -12.83333333

Combine like terms: 12.83333333 + -12.83333333 = 0.00000000
0.00000000 + -0.08333333333x + x2 = 0 + -12.83333333
-0.08333333333x + x2 = 0 + -12.83333333

Combine like terms: 0 + -12.83333333 = -12.83333333
-0.08333333333x + x2 = -12.83333333

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 = -12.83333333 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333x + x2 = -12.83333333 + 0.001736111111

Combine like terms: -12.83333333 + 0.001736111111 = -12.831597218889
0.001736111111 + -0.08333333333x + x2 = -12.831597218889

Factor a perfect square on the left side:
(x + -0.04166666667)(x + -0.04166666667) = -12.831597218889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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