Solve c1v1=c^2v^2

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Example problems

Type your math problem... c1v1=c^2v^2

Question

Solve the equation

Solve for c

Solve for v

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

Evaluate

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

Multiply the terms

c v = c^{2} v^{2}

Rewrite the expression

v c = v^{2} c^{2}

Add or subtract both sides

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

Factor the expression

More Steps

Evaluate

v c - v^{2} c^{2}

Rewrite the expression

v c - v c v c

Factor out v c from the expression

v c (1 - v c)

v c (1 - v c) = 0

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

v c = 0 1 - v c = 0

Solve the equation for c

c = 0 1 - v c = 0

Solution

More Steps

Evaluate

1 - v c = 0

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

- v c = 0 - 1

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

- v c = - 1

Divide both sides

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

Divide the numbers

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

Divide the numbers

c = \frac{1}{v}

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

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