3sqrt(4x+3)-2=7

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Solution for 3sqrt(4x+3)-2=7 equation:


Simplifying
3sqrt(4x + 3) + -2 = 7

Reorder the terms:
3qrst(3 + 4x) + -2 = 7
(3 * 3qrst + 4x * 3qrst) + -2 = 7
(9qrst + 12qrstx) + -2 = 7

Reorder the terms:
-2 + 9qrst + 12qrstx = 7

Solving
-2 + 9qrst + 12qrstx = 7

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 + 9qrst + 2 + 12qrstx = 7 + 2

Reorder the terms:
-2 + 2 + 9qrst + 12qrstx = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 9qrst + 12qrstx = 7 + 2
9qrst + 12qrstx = 7 + 2

Combine like terms: 7 + 2 = 9
9qrst + 12qrstx = 9

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

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

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

Ignore the factor 3.

Subproblem 1

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