Xy^2=1+cv

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Solution for Xy^2=1+cv equation:


Simplifying
Xy2 = 1 + cv

Solving
y2X = 1 + cv

Solving for variable 'y'.

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

Divide each side by 'X'.
y2 = X-1 + cvX-1

Simplifying
y2 = X-1 + cvX-1

Reorder the terms:
-1X-1 + -1cvX-1 + y2 = X-1 + cvX-1 + -1X-1 + -1cvX-1

Reorder the terms:
-1X-1 + -1cvX-1 + y2 = X-1 + -1X-1 + cvX-1 + -1cvX-1

Combine like terms: X-1 + -1X-1 = 0
-1X-1 + -1cvX-1 + y2 = 0 + cvX-1 + -1cvX-1
-1X-1 + -1cvX-1 + y2 = cvX-1 + -1cvX-1

Combine like terms: cvX-1 + -1cvX-1 = 0
-1X-1 + -1cvX-1 + y2 = 0

Factor out the Greatest Common Factor (GCF), 'X-1'.
X-1(-1 + -1cv + y2X) = 0

Subproblem 1

Set the factor 'X-1' equal to zero and attempt to solve: Simplifying X-1 = 0 Solving X-1 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1X-1' to each side of the equation. X-1 + -1X-1 = 0 + -1X-1 Remove the zero: 0 = -1X-1 Simplifying 0 = -1X-1 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 + -1cv + y2X)' equal to zero and attempt to solve: Simplifying -1 + -1cv + y2X = 0 Solving -1 + -1cv + y2X = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1cv + 1 + y2X = 0 + 1 Reorder the terms: -1 + 1 + -1cv + y2X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1cv + y2X = 0 + 1 -1cv + y2X = 0 + 1 Combine like terms: 0 + 1 = 1 -1cv + y2X = 1 Add 'cv' to each side of the equation. -1cv + cv + y2X = 1 + cv Combine like terms: -1cv + cv = 0 0 + y2X = 1 + cv y2X = 1 + cv Divide each side by 'X'. y2 = X-1 + cvX-1 Simplifying y2 = X-1 + cvX-1 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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