Solve n1v1=n^2v^2

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Example problems

Type your math problem... n1v1=n^2v^2

Question

Solve the equation

Solve for n

Solve for v

n = 0 n = \frac{1}{v}

Evaluate

n \times 1 \times v \times 1 = n^{2} v^{2}

Multiply the terms

n v = n^{2} v^{2}

Rewrite the expression

v n = v^{2} n^{2}

Add or subtract both sides

v n - v^{2} n^{2} = 0

Factor the expression

More Steps

Evaluate

v n - v^{2} n^{2}

Rewrite the expression

v n - v n v n

Factor out v n from the expression

v n (1 - v n)

v n (1 - v n) = 0

When the product of factors equals 0,at least one factor is 0

v n = 0 1 - v n = 0

Solve the equation for n

n = 0 1 - v n = 0

Solution

More Steps

Evaluate

1 - v n = 0

Move the constant to the right-hand side and change its sign

- v n = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

- v n = - 1

Divide both sides

\frac{- v n}{- v} = \frac{- 1}{- v}

Divide the numbers

n = \frac{- 1}{- v}

Divide the numbers

n = \frac{1}{v}

n = 0 n = \frac{1}{v}

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