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

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


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

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

Reorder the terms:
2x + x2 = 1 + x + x2

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

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

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

Solving
2x = 1 + x

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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