x^2+2x=x^2+4x+4

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Solution for x^2+2x=x^2+4x+4 equation:


Simplifying
x2 + 2x = x2 + 4x + 4

Reorder the terms:
2x + x2 = x2 + 4x + 4

Reorder the terms:
2x + x2 = 4 + 4x + x2

Add '-1x2' to each side of the equation.
2x + x2 + -1x2 = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + 0 = 4 + 4x + x2 + -1x2
2x = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x = 4 + 4x + 0
2x = 4 + 4x

Solving
2x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2x + -4x = 4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2x = 4 + 0
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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