A(x)=x(640-2x)

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Solution for A(x)=x(640-2x) equation: 


Simplifying
A(x) = x(640 + -2x)

Multiply A * x
xA = x(640 + -2x)
xA = (640 * x + -2x * x)
xA = (640x + -2x2)

Solving
xA = 640x + -2x2

Solving for variable 'x'.

Reorder the terms:
-640x + xA + 2x2 = 640x + -2x2 + -640x + 2x2

Reorder the terms:
-640x + xA + 2x2 = 640x + -640x + -2x2 + 2x2

Combine like terms: 640x + -640x = 0
-640x + xA + 2x2 = 0 + -2x2 + 2x2
-640x + xA + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-640x + xA + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-640 + A + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-640 + A + 2x)' equal to zero and attempt to solve:

Simplifying
-640 + A + 2x = 0

Solving
-640 + A + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '640' to each side of the equation.
-640 + A + 640 + 2x = 0 + 640

Reorder the terms:
-640 + 640 + A + 2x = 0 + 640

Combine like terms: -640 + 640 = 0
0 + A + 2x = 0 + 640
A + 2x = 0 + 640

Combine like terms: 0 + 640 = 640
A + 2x = 640

Add '-1A' to each side of the equation.
A + -1A + 2x = 640 + -1A

Combine like terms: A + -1A = 0
0 + 2x = 640 + -1A
2x = 640 + -1A

Divide each side by '2'.
x = 320 + -0.5A

Simplifying
x = 320 + -0.5A
Solution
x = {0, 320 + -0.5A}

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