r^2*v=42

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Solution for r^2*v=42 equation:


Simplifying
r2 * v = 42

Multiply r2 * v
r2v = 42

Solving
r2v = 42

Solving for variable 'r'.

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

Divide each side by 'v'.
r2 = 42v-1

Simplifying
r2 = 42v-1

Combine like terms: 42v-1 + -42v-1 = 0
r2 + -42v-1 = 0

Factor out the Greatest Common Factor (GCF), 'v-1'.
v-1(r2v + -42) = 0

Subproblem 1

Set the factor 'v-1' equal to zero and attempt to solve: Simplifying v-1 = 0 Solving v-1 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1v-1' to each side of the equation. v-1 + -1v-1 = 0 + -1v-1 Remove the zero: 0 = -1v-1 Simplifying 0 = -1v-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 '(r2v + -42)' equal to zero and attempt to solve: Simplifying r2v + -42 = 0 Reorder the terms: -42 + r2v = 0 Solving -42 + r2v = 0 Move all terms containing r to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + r2v = 0 + 42 Combine like terms: -42 + 42 = 0 0 + r2v = 0 + 42 r2v = 0 + 42 Combine like terms: 0 + 42 = 42 r2v = 42 Divide each side by 'v'. r2 = 42v-1 Simplifying r2 = 42v-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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