x^2-11+x=x-9

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Solution for x^2-11+x=x-9 equation: 


Simplifying
x2 + -11 + x = x + -9

Reorder the terms:
-11 + x + x2 = x + -9

Reorder the terms:
-11 + x + x2 = -9 + x

Add '-1x' to each side of the equation.
-11 + x + -1x + x2 = -9 + x + -1x

Combine like terms: x + -1x = 0
-11 + 0 + x2 = -9 + x + -1x
-11 + x2 = -9 + x + -1x

Combine like terms: x + -1x = 0
-11 + x2 = -9 + 0
-11 + x2 = -9

Solving
-11 + x2 = -9

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + x2 = -9 + 11

Combine like terms: -11 + 11 = 0
0 + x2 = -9 + 11
x2 = -9 + 11

Combine like terms: -9 + 11 = 2
x2 = 2

Simplifying
x2 = 2

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

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