x(x+2)=2x+1

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


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

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

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

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

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

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

Solving
x2 = 1

Solving for variable 'x'.

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

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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