x^2+2x=x(3+x)

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Solution for x^2+2x=x(3+x) equation:


Simplifying
x2 + 2x = x(3 + x)

Reorder the terms:
2x + x2 = x(3 + x)
2x + x2 = (3 * x + x * x)
2x + x2 = (3x + x2)

Add '-1x2' to each side of the equation.
2x + x2 + -1x2 = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + 0 = 3x + x2 + -1x2
2x = 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x = 3x + 0
2x = 3x

Solving
2x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2x + -3x = 3x + -3x

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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