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Simplifying
x2 + 2x + 2 = 2x2 + 2x
Reorder the terms:
2 + 2x + x2 = 2x2 + 2x
Reorder the terms:
2 + 2x + x2 = 2x + 2x2
Add '-2x' to each side of the equation.
2 + 2x + -2x + x2 = 2x + -2x + 2x2
Combine like terms: 2x + -2x = 0
2 + 0 + x2 = 2x + -2x + 2x2
2 + x2 = 2x + -2x + 2x2
Combine like terms: 2x + -2x = 0
2 + x2 = 0 + 2x2
2 + x2 = 2x2
Solving
2 + x2 = 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
2 + x2 + -2x2 = 2x2 + -2x2
Combine like terms: x2 + -2x2 = -1x2
2 + -1x2 = 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
2 + -1x2 = 0
Add '-2' to each side of the equation.
2 + -2 + -1x2 = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -1x2 = 0 + -2
-1x2 = 0 + -2
Combine like terms: 0 + -2 = -2
-1x2 = -2
Divide each side by '-1'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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