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

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


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

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

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

Solving
-3qrst + 5qrstx = 3qrst + 2qrstx

Solving for variable 'q'.

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

Add '-3qrst' to each side of the equation.
-3qrst + -3qrst + 5qrstx = 3qrst + -3qrst + 2qrstx

Combine like terms: -3qrst + -3qrst = -6qrst
-6qrst + 5qrstx = 3qrst + -3qrst + 2qrstx

Combine like terms: 3qrst + -3qrst = 0
-6qrst + 5qrstx = 0 + 2qrstx
-6qrst + 5qrstx = 2qrstx

Add '-2qrstx' to each side of the equation.
-6qrst + 5qrstx + -2qrstx = 2qrstx + -2qrstx

Combine like terms: 5qrstx + -2qrstx = 3qrstx
-6qrst + 3qrstx = 2qrstx + -2qrstx

Combine like terms: 2qrstx + -2qrstx = 0
-6qrst + 3qrstx = 0

Factor out the Greatest Common Factor (GCF), '3qrst'.
3qrst(-2 + x) = 0

Ignore the factor 3.

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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