Solve p1t1=p^2t^2

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Example problems

Type your math problem... p1t1=p^2t^2

Question

Solve the equation

Solve for p

Solve for t

p = 0 p = \frac{1}{t}

Evaluate

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

Multiply the terms

pt = p^{2} t^{2}

Rewrite the expression

tp = t^{2} p^{2}

Add or subtract both sides

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

Factor the expression

More Steps

Evaluate

tp - t^{2} p^{2}

Rewrite the expression

tp - tptp

Factor out tp from the expression

tp (1 - tp)

tp (1 - tp) = 0

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

tp = 0 1 - tp = 0

Solve the equation for p

p = 0 1 - tp = 0

Solution

More Steps

Evaluate

1 - tp = 0

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

- tp = 0 - 1

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

- tp = - 1

Divide both sides

\frac{- tp}{- t} = \frac{- 1}{- t}

Divide the numbers

p = \frac{- 1}{- t}

Divide the numbers

p = \frac{1}{t}

p = 0 p = \frac{1}{t}

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