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

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


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

Remove parenthesis around (2x)
x2 + qrst * 2x + -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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