Solve p1v1=p^2v^2/t^2

Evaluate

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

Multiply the terms

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

Multiply the terms

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

Rewrite the expression

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

Cross multiply

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

Simplify the equation

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

Rewrite the expression

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

Evaluate

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

Add or subtract both sides

t^{2} p - v p^{2} = 0

Factor the expression

More Steps

p (t^{2} - v p) = 0

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

p = 0 t^{2} - v p = 0

Solution

More Steps

p = 0 p = \frac{t ^{2}}{v}

Solve the equation