Solve (p1*v1)/t1 = (p^2*v^2)/t^2

Evaluate

\frac{p \times 1 \times v \times 1}{t} \times 1 = \frac{p ^{2} v ^{2}}{t ^{2}}

Simplify

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\frac{p v}{t} = \frac{p ^{2} v ^{2}}{t ^{2}}

Rewrite the expression

\frac{v p}{t} = \frac{v ^{2} p ^{2}}{t ^{2}}

Cross multiply

v p t^{2} = t v^{2} p^{2}

Simplify the equation

t^{2} v p = t v^{2} p^{2}

Rewrite the expression

t v tp = t v \times v p^{2}

Evaluate

tp = v p^{2}

Add or subtract both sides

tp - v p^{2} = 0

Factor the expression

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p (t - v p) = 0

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

p = 0 t - v p = 0

Solution

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p = 0 p = \frac{t}{v}

Solve the equation