What are the solutions to the equation solvefor v,p^1v^1=p^2v^2 ?

The solutions to the equation solvefor v,p^1v^1=p^2v^2 are v=0,v= 1/p ;\quad p\ne 0

Find the zeros of solvefor v,p^1v^1=p^2v^2

The zeros of solvefor v,p^1v^1=p^2v^2 are v=0,v= 1/p ;\quad p\ne 0

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solve for

v, p^{1} v^{1} = p^{2} v^{2}

v = 0, v = \frac{1}{p}; p \neq = 0

Solution steps

p^{1} v^{1} = p^{2} v^{2}

Move

p^{2} v^{2}

to the left side

p^{1} v^{1} - p^{2} v^{2} = 0

Factor

p^{1} v^{1} - p^{2} v^{2} : v p (1 - v p)

v p (1 - v p) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

v = 0 or 1 - v p = 0

Solve

1 - v p = 0 : v = \frac{1}{p}; p \neq = 0

The solutions to the quadratic equation are:

v = 0, v = \frac{1}{p}; p \neq = 0

3 x^{2} - 5 x = 0

x, x^{2} - 3 m x + 8 = 0

(x + \frac{1}{2})^{2} = \frac{16}{9}

x, (x - 1) (3 x + 2 y - 1) = c

7 x = x^{2}

What are the solutions to the equation solvefor v,p^1v^1=p^2v^2 ?
The solutions to the equation solvefor v,p^1v^1=p^2v^2 are v=0,v= 1/p ;\quad p\ne 0
Find the zeros of solvefor v,p^1v^1=p^2v^2
The zeros of solvefor v,p^1v^1=p^2v^2 are v=0,v= 1/p ;\quad p\ne 0