sort(5x+3)=sqrt(2x-1)

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Solution for sort(5x+3)=sqrt(2x-1) equation:


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

Reorder the terms:
orst(3 + 5x) = sqrt(2x + -1)
(3 * orst + 5x * orst) = sqrt(2x + -1)
(3orst + 5orstx) = sqrt(2x + -1)

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

Solving
3orst + 5orstx = -1qrst + 2qrstx

Solving for variable 'o'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'rst'.
rst(3o + 5ox + q + -2qx) = 0

Subproblem 1

Set the factor 'rst' equal to zero and attempt to solve: Simplifying rst = 0 Solving rst = 0 Move all terms containing o to the left, all other terms to the right. Add '-1rst' to each side of the equation. rst + -1rst = 0 + -1rst Remove the zero: 0 = -1rst Simplifying 0 = -1rst 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 '(3o + 5ox + q + -2qx)' equal to zero and attempt to solve: Simplifying 3o + 5ox + q + -2qx = 0 Solving 3o + 5ox + q + -2qx = 0 Move all terms containing o to the left, all other terms to the right. Add '-1q' to each side of the equation. 3o + 5ox + q + -1q + -2qx = 0 + -1q Combine like terms: q + -1q = 0 3o + 5ox + 0 + -2qx = 0 + -1q 3o + 5ox + -2qx = 0 + -1q Remove the zero: 3o + 5ox + -2qx = -1q Add '2qx' to each side of the equation. 3o + 5ox + -2qx + 2qx = -1q + 2qx Combine like terms: -2qx + 2qx = 0 3o + 5ox + 0 = -1q + 2qx 3o + 5ox = -1q + 2qx 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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