What are the solutions to the equation solvefor A,A(x)A(y)=A(x+y) ?

The solutions to the equation solvefor A,A(x)A(y)=A(x+y) are A=0,A=(x+y)/(xy);\quad xy\ne 0

Find the zeros of solvefor A,A(x)A(y)=A(x+y)

The zeros of solvefor A,A(x)A(y)=A(x+y) are A=0,A=(x+y)/(xy);\quad xy\ne 0

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solve for

A, A (x) A (y) = A (x + y)

A = 0, A = \frac{x + y}{x y}; x y \neq = 0

Solution steps

A (x) A (y) = A (x + y)

Move

A (x + y)

to the left side

A x A y - A (x + y) = 0

Factor

A x A y - A (x + y) : A (A x y - x - y)

A (A x y - x - y) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

A = 0 or A x y - x - y = 0

Solve

A x y - x - y = 0 : A = \frac{x + y}{x y}; x y \neq = 0

The solutions to the quadratic equation are:

A = 0, A = \frac{x + y}{x y}; x y \neq = 0

n^{2} + 4 n - 12 = 0

m^{2} + 2 m + 32 = 0

- 3 x^{2} - 6 x = - 4

- 4 = x^{2}

3 (2 x + 5) - 6 x = (11 x - 18) (2 x - 5)

What are the solutions to the equation solvefor A,A(x)A(y)=A(x+y) ?
The solutions to the equation solvefor A,A(x)A(y)=A(x+y) are A=0,A=(x+y)/(xy);\quad xy\ne 0
Find the zeros of solvefor A,A(x)A(y)=A(x+y)
The zeros of solvefor A,A(x)A(y)=A(x+y) are A=0,A=(x+y)/(xy);\quad xy\ne 0