x(1+x)=(1-2x+x^2)

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Solution for x(1+x)=(1-2x+x^2) equation: 


Simplifying
x(1 + x) = (1 + -2x + x2)
(1 * x + x * x) = (1 + -2x + x2)
(1x + x2) = (1 + -2x + x2)

Remove parenthesis around (1 + -2x + x2)
1x + x2 = 1 + -2x + x2

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

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

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

Solving
1x = 1 + -2x

Solving for variable 'x'.

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

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

Combine like terms: 1x + 2x = 3x
3x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
3x = 1 + 0
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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