A(x)=x(16-2x)

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Solution for A(x)=x(16-2x) equation: 


Simplifying
A(x) = x(16 + -2x)

Multiply A * x
xA = x(16 + -2x)
xA = (16 * x + -2x * x)
xA = (16x + -2x2)

Solving
xA = 16x + -2x2

Solving for variable 'x'.

Reorder the terms:
-16x + xA + 2x2 = 16x + -2x2 + -16x + 2x2

Reorder the terms:
-16x + xA + 2x2 = 16x + -16x + -2x2 + 2x2

Combine like terms: 16x + -16x = 0
-16x + xA + 2x2 = 0 + -2x2 + 2x2
-16x + xA + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-16x + xA + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + 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 '(-16 + A + 2x)' equal to zero and attempt to solve:

Simplifying
-16 + A + 2x = 0

Solving
-16 + A + 2x = 0

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

Add '16' to each side of the equation.
-16 + A + 16 + 2x = 0 + 16

Reorder the terms:
-16 + 16 + A + 2x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + A + 2x = 0 + 16
A + 2x = 0 + 16

Combine like terms: 0 + 16 = 16
A + 2x = 16

Add '-1A' to each side of the equation.
A + -1A + 2x = 16 + -1A

Combine like terms: A + -1A = 0
0 + 2x = 16 + -1A
2x = 16 + -1A

Divide each side by '2'.
x = 8 + -0.5A

Simplifying
x = 8 + -0.5A
Solution
x = {0, 8 + -0.5A}

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