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

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


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

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

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

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

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

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

Solving
2 + x2 = 4

Solving for variable 'x'.

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

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

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

Combine like terms: 4 + -2 = 2
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}

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