12x-x^2=48

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Solution for 12x-x^2=48 equation:


Simplifying
12x + -1x2 = 48

Solving
12x + -1x2 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + 12x + -1x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 12x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
48 + -12x + x2 = 0

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + -12x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + -12x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -12x + x2 = 0 + -48
-12x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
-12x + x2 = -48

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -48 + 36

Reorder the terms:
36 + -12x + x2 = -48 + 36

Combine like terms: -48 + 36 = -12
36 + -12x + x2 = -12

Factor a perfect square on the left side:
(x + -6)(x + -6) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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