x(17-x)=208

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Solution for x(17-x)=208 equation:


Simplifying
x(17 + -1x) = 208
(17 * x + -1x * x) = 208
(17x + -1x2) = 208

Solving
17x + -1x2 = 208

Solving for variable 'x'.

Reorder the terms:
-208 + 17x + -1x2 = 208 + -208

Combine like terms: 208 + -208 = 0
-208 + 17x + -1x2 = 0

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

Divide each side by '-1'.
208 + -17x + x2 = 0

Move the constant term to the right:

Add '-208' to each side of the equation.
208 + -17x + -208 + x2 = 0 + -208

Reorder the terms:
208 + -208 + -17x + x2 = 0 + -208

Combine like terms: 208 + -208 = 0
0 + -17x + x2 = 0 + -208
-17x + x2 = 0 + -208

Combine like terms: 0 + -208 = -208
-17x + x2 = -208

The x term is -17x.  Take half its coefficient (-8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
-17x + 72.25 + x2 = -208 + 72.25

Reorder the terms:
72.25 + -17x + x2 = -208 + 72.25

Combine like terms: -208 + 72.25 = -135.75
72.25 + -17x + x2 = -135.75

Factor a perfect square on the left side:
(x + -8.5)(x + -8.5) = -135.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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