x^2-14sqrt(6)x+294=0

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Solution for x^2-14sqrt(6)x+294=0 equation:


Simplifying
x2 + -14sqrt(6) * x + 294 = 0

Reorder the terms for easier multiplication:
x2 + -14 * 6qrst * x + 294 = 0

Multiply -14 * 6
x2 + -84qrst * x + 294 = 0

Multiply qrst * x
x2 + -84qrstx + 294 = 0

Reorder the terms:
294 + -84qrstx + x2 = 0

Solving
294 + -84qrstx + x2 = 0

Solving for variable 'q'.

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

Add '-294' to each side of the equation.
294 + -84qrstx + -294 + x2 = 0 + -294

Reorder the terms:
294 + -294 + -84qrstx + x2 = 0 + -294

Combine like terms: 294 + -294 = 0
0 + -84qrstx + x2 = 0 + -294
-84qrstx + x2 = 0 + -294

Combine like terms: 0 + -294 = -294
-84qrstx + x2 = -294

Add '-1x2' to each side of the equation.
-84qrstx + x2 + -1x2 = -294 + -1x2

Combine like terms: x2 + -1x2 = 0
-84qrstx + 0 = -294 + -1x2
-84qrstx = -294 + -1x2

Divide each side by '-84rstx'.
q = 3.5r-1s-1t-1x-1 + 0.0119047619r-1s-1t-1x

Simplifying
q = 3.5r-1s-1t-1x-1 + 0.0119047619r-1s-1t-1x

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