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Simplifying
2 = (x + 1)(x + -1)
Reorder the terms:
2 = (1 + x)(x + -1)
Reorder the terms:
2 = (1 + x)(-1 + x)
Multiply (1 + x) * (-1 + x)
2 = (1(-1 + x) + x(-1 + x))
2 = ((-1 * 1 + x * 1) + x(-1 + x))
2 = ((-1 + 1x) + x(-1 + x))
2 = (-1 + 1x + (-1 * x + x * x))
2 = (-1 + 1x + (-1x + x2))
Combine like terms: 1x + -1x = 0
2 = (-1 + 0 + x2)
2 = (-1 + x2)
Solving
2 = -1 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
2 + -1x2 = -1 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
2 + -1x2 = -1 + 0
2 + -1x2 = -1
Add '-2' to each side of the equation.
2 + -2 + -1x2 = -1 + -2
Combine like terms: 2 + -2 = 0
0 + -1x2 = -1 + -2
-1x2 = -1 + -2
Combine like terms: -1 + -2 = -3
-1x2 = -3
Divide each side by '-1'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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