x^2-x+sqrt(2)-2=0

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Solution for x^2-x+sqrt(2)-2=0 equation:


Simplifying
x2 + -1x + sqrt(2) + -2 = 0

Reorder the terms for easier multiplication:
x2 + -1x + 2qrst + -2 = 0

Reorder the terms:
-2 + 2qrst + -1x + x2 = 0

Solving
-2 + 2qrst + -1x + x2 = 0

Solving for variable 'q'.

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

Add '2' to each side of the equation.
-2 + 2qrst + -1x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + 2qrst + -1x + x2 = 0 + 2

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

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

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

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

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

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

Divide each side by '2rst'.
q = r-1s-1t-1 + 0.5r-1s-1t-1x + -0.5r-1s-1t-1x2

Simplifying
q = r-1s-1t-1 + 0.5r-1s-1t-1x + -0.5r-1s-1t-1x2

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