6sqrt(x-2)-5=4

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Solution for 6sqrt(x-2)-5=4 equation:


Simplifying
6sqrt(x + -2) + -5 = 4

Reorder the terms:
6qrst(-2 + x) + -5 = 4
(-2 * 6qrst + x * 6qrst) + -5 = 4
(-12qrst + 6qrstx) + -5 = 4

Reorder the terms:
-5 + -12qrst + 6qrstx = 4

Solving
-5 + -12qrst + 6qrstx = 4

Solving for variable 'q'.

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

Add '5' to each side of the equation.
-5 + -12qrst + 5 + 6qrstx = 4 + 5

Reorder the terms:
-5 + 5 + -12qrst + 6qrstx = 4 + 5

Combine like terms: -5 + 5 = 0
0 + -12qrst + 6qrstx = 4 + 5
-12qrst + 6qrstx = 4 + 5

Combine like terms: 4 + 5 = 9
-12qrst + 6qrstx = 9

Reorder the terms:
-9 + -12qrst + 6qrstx = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -12qrst + 6qrstx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + -4qrst + 2qrstx) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + -4qrst + 2qrstx)' equal to zero and attempt to solve: Simplifying -3 + -4qrst + 2qrstx = 0 Solving -3 + -4qrst + 2qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -4qrst + 3 + 2qrstx = 0 + 3 Reorder the terms: -3 + 3 + -4qrst + 2qrstx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4qrst + 2qrstx = 0 + 3 -4qrst + 2qrstx = 0 + 3 Combine like terms: 0 + 3 = 3 -4qrst + 2qrstx = 3 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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