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

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


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

Reorder the terms for easier multiplication:
x2 + (2qrst * x) + -2 = 0

Multiply qrst * x
x2 + (2qrstx) + -2 = 0

Reorder the terms:
-2 + (2qrstx) + x2 = 0

Solving
-2 + (2qrstx) + 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 + (2qrstx) + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + (2qrstx) + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + (2qrstx) + x2 = 0 + 2
(2qrstx) + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
(2qrstx) + x2 = 2

Add '-1x2' to each side of the equation.
(2qrstx) + x2 + -1x2 = 2 + -1x2

Combine like terms: x2 + -1x2 = 0
(2qrstx) + 0 = 2 + -1x2
(2qrstx) = 2 + -1x2

Divide each side by '(2rstx)'.
q = r-1s-1t-1x-1 + -0.5r-1s-1t-1x

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

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