0.5(x-48)=31+6x*x

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Solution for 0.5(x-48)=31+6x*x equation: 


Simplifying
0.5(x + -48) = 31 + 6x * x

Reorder the terms:
0.5(-48 + x) = 31 + 6x * x
(-48 * 0.5 + x * 0.5) = 31 + 6x * x
(-24 + 0.5x) = 31 + 6x * x

Multiply x * x
-24 + 0.5x = 31 + 6x2

Solving
-24 + 0.5x = 31 + 6x2

Solving for variable 'x'.

Reorder the terms:
-24 + -31 + 0.5x + -6x2 = 31 + 6x2 + -31 + -6x2

Combine like terms: -24 + -31 = -55
-55 + 0.5x + -6x2 = 31 + 6x2 + -31 + -6x2

Reorder the terms:
-55 + 0.5x + -6x2 = 31 + -31 + 6x2 + -6x2

Combine like terms: 31 + -31 = 0
-55 + 0.5x + -6x2 = 0 + 6x2 + -6x2
-55 + 0.5x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-55 + 0.5x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
9.166666667 + -0.08333333333x + x2 = 0

Move the constant term to the right:

Add '-9.166666667' to each side of the equation.
9.166666667 + -0.08333333333x + -9.166666667 + x2 = 0 + -9.166666667

Reorder the terms:
9.166666667 + -9.166666667 + -0.08333333333x + x2 = 0 + -9.166666667

Combine like terms: 9.166666667 + -9.166666667 = 0.000000000
0.000000000 + -0.08333333333x + x2 = 0 + -9.166666667
-0.08333333333x + x2 = 0 + -9.166666667

Combine like terms: 0 + -9.166666667 = -9.166666667
-0.08333333333x + x2 = -9.166666667

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 = -9.166666667 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333x + x2 = -9.166666667 + 0.001736111111

Combine like terms: -9.166666667 + 0.001736111111 = -9.164930555889
0.001736111111 + -0.08333333333x + x2 = -9.164930555889

Factor a perfect square on the left side:
(x + -0.04166666667)(x + -0.04166666667) = -9.164930555889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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