9(sqrt(4x+1)-sqrt(3x+2))=x+3

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Solution for 9(sqrt(4x+1)-sqrt(3x+2))=x+3 equation:


Simplifying
9(sqrt(4x + 1) + -1sqrt(3x + 2)) = x + 3

Reorder the terms:
9(qrst(1 + 4x) + -1sqrt(3x + 2)) = x + 3
9((1 * qrst + 4x * qrst) + -1sqrt(3x + 2)) = x + 3
9((1qrst + 4qrstx) + -1sqrt(3x + 2)) = x + 3

Reorder the terms:
9(1qrst + 4qrstx + -1qrst(2 + 3x)) = x + 3
9(1qrst + 4qrstx + (2 * -1qrst + 3x * -1qrst)) = x + 3
9(1qrst + 4qrstx + (-2qrst + -3qrstx)) = x + 3

Reorder the terms:
9(1qrst + -2qrst + 4qrstx + -3qrstx) = x + 3

Combine like terms: 1qrst + -2qrst = -1qrst
9(-1qrst + 4qrstx + -3qrstx) = x + 3

Combine like terms: 4qrstx + -3qrstx = 1qrstx
9(-1qrst + 1qrstx) = x + 3
(-1qrst * 9 + 1qrstx * 9) = x + 3
(-9qrst + 9qrstx) = x + 3

Reorder the terms:
-9qrst + 9qrstx = 3 + x

Solving
-9qrst + 9qrstx = 3 + x

Solving for variable 'q'.

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

Reorder the terms:
-3 + -9qrst + 9qrstx + -1x = 3 + x + -3 + -1x

Reorder the terms:
-3 + -9qrst + 9qrstx + -1x = 3 + -3 + x + -1x

Combine like terms: 3 + -3 = 0
-3 + -9qrst + 9qrstx + -1x = 0 + x + -1x
-3 + -9qrst + 9qrstx + -1x = x + -1x

Combine like terms: x + -1x = 0
-3 + -9qrst + 9qrstx + -1x = 0

The solution to this equation could not be determined.

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