sqrt(5x)=sqrt(7x+9)-3

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Solution for sqrt(5x)=sqrt(7x+9)-3 equation:


Simplifying
sqrt(5x) = sqrt(7x + 9) + -3

Remove parenthesis around (5x)
qrst * 5x = sqrt(7x + 9) + -3

Reorder the terms for easier multiplication:
5qrst * x = sqrt(7x + 9) + -3

Multiply qrst * x
5qrstx = sqrt(7x + 9) + -3

Reorder the terms:
5qrstx = qrst(9 + 7x) + -3
5qrstx = (9 * qrst + 7x * qrst) + -3
5qrstx = (9qrst + 7qrstx) + -3

Reorder the terms:
5qrstx = -3 + 9qrst + 7qrstx

Solving
5qrstx = -3 + 9qrst + 7qrstx

Solving for variable 'q'.

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

Add '-9qrst' to each side of the equation.
-9qrst + 5qrstx = -3 + 9qrst + -9qrst + 7qrstx

Combine like terms: 9qrst + -9qrst = 0
-9qrst + 5qrstx = -3 + 0 + 7qrstx
-9qrst + 5qrstx = -3 + 7qrstx

Add '-7qrstx' to each side of the equation.
-9qrst + 5qrstx + -7qrstx = -3 + 7qrstx + -7qrstx

Combine like terms: 5qrstx + -7qrstx = -2qrstx
-9qrst + -2qrstx = -3 + 7qrstx + -7qrstx

Combine like terms: 7qrstx + -7qrstx = 0
-9qrst + -2qrstx = -3 + 0
-9qrst + -2qrstx = -3

Reorder the terms:
3 + -9qrst + -2qrstx = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -9qrst + -2qrstx = 0

The solution to this equation could not be determined.

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