6x=sqrt(36x^2+4x-12)

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Solution for 6x=sqrt(36x^2+4x-12) equation:


Simplifying
6x = sqrt(36x2 + 4x + -12)

Reorder the terms:
6x = qrst(-12 + 4x + 36x2)
6x = (-12 * qrst + 4x * qrst + 36x2 * qrst)
6x = (-12qrst + 4qrstx + 36qrstx2)

Solving
6x = -12qrst + 4qrstx + 36qrstx2

Solving for variable 'x'.

Reorder the terms:
12qrst + -4qrstx + -36qrstx2 + 6x = -12qrst + 4qrstx + 36qrstx2 + 12qrst + -4qrstx + -36qrstx2

Reorder the terms:
12qrst + -4qrstx + -36qrstx2 + 6x = -12qrst + 12qrst + 4qrstx + -4qrstx + 36qrstx2 + -36qrstx2

Combine like terms: -12qrst + 12qrst = 0
12qrst + -4qrstx + -36qrstx2 + 6x = 0 + 4qrstx + -4qrstx + 36qrstx2 + -36qrstx2
12qrst + -4qrstx + -36qrstx2 + 6x = 4qrstx + -4qrstx + 36qrstx2 + -36qrstx2

Combine like terms: 4qrstx + -4qrstx = 0
12qrst + -4qrstx + -36qrstx2 + 6x = 0 + 36qrstx2 + -36qrstx2
12qrst + -4qrstx + -36qrstx2 + 6x = 36qrstx2 + -36qrstx2

Combine like terms: 36qrstx2 + -36qrstx2 = 0
12qrst + -4qrstx + -36qrstx2 + 6x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6qrst + -2qrstx + -18qrstx2 + 3x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6qrst + -2qrstx + -18qrstx2 + 3x)' equal to zero and attempt to solve:

Simplifying
6qrst + -2qrstx + -18qrstx2 + 3x = 0

Solving
6qrst + -2qrstx + -18qrstx2 + 3x = 0

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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