160=(x)(16-x)+x

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Solution for 160=(x)(16-x)+x equation:


Simplifying
160 = (x)(16 + -1x) + x
160 = (16 * x + -1x * x) + x
160 = (16x + -1x2) + x

Reorder the terms:
160 = 16x + x + -1x2

Combine like terms: 16x + x = 17x
160 = 17x + -1x2

Solving
160 = 17x + -1x2

Solving for variable 'x'.

Reorder the terms:
160 + -17x + x2 = 17x + -17x + -1x2 + x2

Combine like terms: 17x + -17x = 0
160 + -17x + x2 = 0 + -1x2 + x2
160 + -17x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
160 + -17x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-160' to each side of the equation.
160 + -17x + -160 + x2 = 0 + -160

Reorder the terms:
160 + -160 + -17x + x2 = 0 + -160

Combine like terms: 160 + -160 = 0
0 + -17x + x2 = 0 + -160
-17x + x2 = 0 + -160

Combine like terms: 0 + -160 = -160
-17x + x2 = -160

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 = -160 + 72.25

Reorder the terms:
72.25 + -17x + x2 = -160 + 72.25

Combine like terms: -160 + 72.25 = -87.75
72.25 + -17x + x2 = -87.75

Factor a perfect square on the left side:
(x + -8.5)(x + -8.5) = -87.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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