2x+-16=x(2-x)

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Solution for 2x+-16=x(2-x) equation: 


Simplifying
2x + -16 = x(2 + -1x)

Reorder the terms:
-16 + 2x = x(2 + -1x)
-16 + 2x = (2 * x + -1x * x)
-16 + 2x = (2x + -1x2)

Add '-2x' to each side of the equation.
-16 + 2x + -2x = 2x + -2x + -1x2

Combine like terms: 2x + -2x = 0
-16 + 0 = 2x + -2x + -1x2
-16 = 2x + -2x + -1x2

Combine like terms: 2x + -2x = 0
-16 = 0 + -1x2
-16 = -1x2

Solving
-16 = -1x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x2' to each side of the equation.
-16 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-16 + x2 = 0

Add '16' to each side of the equation.
-16 + 16 + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x2 = 0 + 16
x2 = 0 + 16

Combine like terms: 0 + 16 = 16
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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