0=kv-kv^2

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Solution for 0=kv-kv^2 equation:


Simplifying
0 = kv + -1kv2

Solving
0 = kv + -1kv2

Solving for variable 'k'.

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

Add '-1kv' to each side of the equation.
0 + -1kv = kv + -1kv + -1kv2
Remove the zero:
-1kv = kv + -1kv + -1kv2

Combine like terms: kv + -1kv = 0
-1kv = 0 + -1kv2
-1kv = -1kv2

Add 'kv2' to each side of the equation.
-1kv + kv2 = -1kv2 + kv2

Combine like terms: -1kv2 + kv2 = 0
-1kv + kv2 = 0

Factor out the Greatest Common Factor (GCF), 'kv'.
kv(-1 + v) = 0

Subproblem 1

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