Sqrt(x^2+6)+sqrt(7x)=0

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Solution for Sqrt(x^2+6)+sqrt(7x)=0 equation:


Simplifying
Sqrt(x2 + 6) + sqrt(7x) = 0

Reorder the terms:
qrtS(6 + x2) + sqrt(7x) = 0
(6 * qrtS + x2 * qrtS) + sqrt(7x) = 0
(6qrtS + qrtx2S) + sqrt(7x) = 0

Remove parenthesis around (7x)
6qrtS + qrtx2S + qrst * 7x = 0

Reorder the terms for easier multiplication:
6qrtS + qrtx2S + 7qrst * x = 0

Multiply qrst * x
6qrtS + qrtx2S + 7qrstx = 0

Reorder the terms:
7qrstx + 6qrtS + qrtx2S = 0

Solving
7qrstx + 6qrtS + qrtx2S = 0

Solving for variable 'q'.

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

Factor out the Greatest Common Factor (GCF), 'qrt'.
qrt(7sx + 6S + x2S) = 0

Subproblem 1

Set the factor 'qrt' equal to zero and attempt to solve: Simplifying qrt = 0 Solving qrt = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrt = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(7sx + 6S + x2S)' equal to zero and attempt to solve: Simplifying 7sx + 6S + x2S = 0 Reorder the terms: 6S + 7sx + x2S = 0 Solving 6S + 7sx + x2S = 0 Move all terms containing q to the left, all other terms to the right. Add '-6S' to each side of the equation. 6S + 7sx + -6S + x2S = 0 + -6S Reorder the terms: 6S + -6S + 7sx + x2S = 0 + -6S Combine like terms: 6S + -6S = 0 0 + 7sx + x2S = 0 + -6S 7sx + x2S = 0 + -6S Remove the zero: 7sx + x2S = -6S Add '-7sx' to each side of the equation. 7sx + -7sx + x2S = -6S + -7sx Combine like terms: 7sx + -7sx = 0 0 + x2S = -6S + -7sx x2S = -6S + -7sx Add '-1x2S' to each side of the equation. x2S + -1x2S = -6S + -7sx + -1x2S Combine like terms: x2S + -1x2S = 0 0 = -6S + -7sx + -1x2S Simplifying 0 = -6S + -7sx + -1x2S The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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