Solve n1/p1 = n^2/p^2

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Type your math problem... n1/p1 = n^2/p^2

Question

Solve the equation

Solve for n

Solve for p

n = 0 n = p

Evaluate

n \times \frac{1}{p} \times 1 = \frac{n ^{2}}{p ^{2}}

Multiply the terms

More Steps

Evaluate

n \times \frac{1}{p} \times 1

Rewrite the expression

n \times \frac{1}{p}

Multiply the terms

\frac{n}{p}

\frac{n}{p} = \frac{n ^{2}}{p ^{2}}

Cross multiply

n p^{2} = p n^{2}

Simplify the equation

p^{2} n = p n^{2}

Rewrite the expression

p \times p n = p n^{2}

Evaluate

p n = n^{2}

Move the expression to the left side

p n - n^{2} = 0

Factor the expression

More Steps

Evaluate

p n - n^{2}

Rewrite the expression

n p - n \times n

Factor out n from the expression

n (p - n)

n (p - n) = 0

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

n = 0 p - n = 0

Solution

More Steps

Evaluate

p - n = 0

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

- n = 0 - p

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

- n = - p

Change the signs on both sides of the equation

n = p

n = 0 n = p

Show Solution

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