8x-x^2-36=0

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Solution for 8x-x^2-36=0 equation:


Simplifying
8x + -1x2 + -36 = 0

Reorder the terms:
-36 + 8x + -1x2 = 0

Solving
-36 + 8x + -1x2 = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
36 + -8x + x2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -8x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -8x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -8x + x2 = 0 + -36
-8x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-8x + x2 = -36

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -36 + 16

Reorder the terms:
16 + -8x + x2 = -36 + 16

Combine like terms: -36 + 16 = -20
16 + -8x + x2 = -20

Factor a perfect square on the left side:
(x + -4)(x + -4) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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