sqrt(9-7x)=sqrt(3x+19)

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Solution for sqrt(9-7x)=sqrt(3x+19) equation:


Simplifying
sqrt(9 + -7x) = sqrt(3x + 19)
(9 * qrst + -7x * qrst) = sqrt(3x + 19)
(9qrst + -7qrstx) = sqrt(3x + 19)

Reorder the terms:
9qrst + -7qrstx = qrst(19 + 3x)
9qrst + -7qrstx = (19 * qrst + 3x * qrst)
9qrst + -7qrstx = (19qrst + 3qrstx)

Solving
9qrst + -7qrstx = 19qrst + 3qrstx

Solving for variable 'q'.

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

Add '-19qrst' to each side of the equation.
9qrst + -19qrst + -7qrstx = 19qrst + -19qrst + 3qrstx

Combine like terms: 9qrst + -19qrst = -10qrst
-10qrst + -7qrstx = 19qrst + -19qrst + 3qrstx

Combine like terms: 19qrst + -19qrst = 0
-10qrst + -7qrstx = 0 + 3qrstx
-10qrst + -7qrstx = 3qrstx

Add '-3qrstx' to each side of the equation.
-10qrst + -7qrstx + -3qrstx = 3qrstx + -3qrstx

Combine like terms: -7qrstx + -3qrstx = -10qrstx
-10qrst + -10qrstx = 3qrstx + -3qrstx

Combine like terms: 3qrstx + -3qrstx = 0
-10qrst + -10qrstx = 0

Factor out the Greatest Common Factor (GCF), '-10qrst'.
-10qrst(1 + x) = 0

Ignore the factor -10.

Subproblem 1

Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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