Solve a1v1=a^2v^2

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Example problems

Type your math problem... a1v1=a^2v^2

Question

Solve the equation

Solve for a

Solve for v

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

Evaluate

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

Multiply the terms

a v = a^{2} v^{2}

Rewrite the expression

v a = v^{2} a^{2}

Add or subtract both sides

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

Factor the expression

More Steps

Evaluate

v a - v^{2} a^{2}

Rewrite the expression

v a - v a v a

Factor out v a from the expression

v a (1 - v a)

v a (1 - v a) = 0

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

v a = 0 1 - v a = 0

Solve the equation for a

a = 0 1 - v a = 0

Solution

More Steps

Evaluate

1 - v a = 0

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

- v a = 0 - 1

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

- v a = - 1

Divide both sides

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

Divide the numbers

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

Divide the numbers

a = \frac{1}{v}

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

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