sqrt(2x+5)-sqrt(x+3)=

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Solution for sqrt(2x+5)-sqrt(x+3)= equation:


Simplifying
sqrt(2x + 5) + -1sqrt(x + 3) = 0

Reorder the terms:
qrst(5 + 2x) + -1sqrt(x + 3) = 0
(5 * qrst + 2x * qrst) + -1sqrt(x + 3) = 0
(5qrst + 2qrstx) + -1sqrt(x + 3) = 0

Reorder the terms:
5qrst + 2qrstx + -1qrst(3 + x) = 0
5qrst + 2qrstx + (3 * -1qrst + x * -1qrst) = 0
5qrst + 2qrstx + (-3qrst + -1qrstx) = 0

Reorder the terms:
5qrst + -3qrst + 2qrstx + -1qrstx = 0

Combine like terms: 5qrst + -3qrst = 2qrst
2qrst + 2qrstx + -1qrstx = 0

Combine like terms: 2qrstx + -1qrstx = 1qrstx
2qrst + 1qrstx = 0

Solving
2qrst + 1qrstx = 0

Solving for variable 'q'.

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

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(2 + x) = 0

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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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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