What are the solutions to the equation A(X)=X((288-2X)/2) ?

The solutions to the equation A(X)=X((288-2X)/2) are X=0,X=-A+144

Find the zeros of A(X)=X((288-2X)/2)

The zeros of A(X)=X((288-2X)/2) are X=0,X=-A+144

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A (X) = X (\frac{288 - 2 X}{2})

X = 0, X = - A + 144

Solution steps

A (X) = X (\frac{288 - 2 X}{2})

Move

X (\frac{288 - 2 X}{2})

to the left side

A X - X \frac{288 - 2 X}{2} = 0

Factor

A X - X \frac{288 - 2 X}{2} : X (A - 144 + X)

X (A - 144 + X) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

X = 0 or A - 144 + X = 0

Solve

A - 144 + X = 0 : X = - A + 144

The solutions to the quadratic equation are:

X = 0, X = - A + 144

4 x - 6 x^{2} = - 10

1 = x^{2} - 6 x

x^{2} + 25 x + 156 = 0

p^{2} - 9 p = - 8

b^{2} - 13 b + 40 = 0

What are the solutions to the equation A(X)=X((288-2X)/2) ?
The solutions to the equation A(X)=X((288-2X)/2) are X=0,X=-A+144
Find the zeros of A(X)=X((288-2X)/2)
The zeros of A(X)=X((288-2X)/2) are X=0,X=-A+144