A(x)=48x-4x^2

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Solution for A(x)=48x-4x^2 equation: 


Simplifying
A(x) = 48x + -4x2

Multiply A * x
xA = 48x + -4x2

Solving
xA = 48x + -4x2

Solving for variable 'x'.

Reorder the terms:
-48x + xA + 4x2 = 48x + -4x2 + -48x + 4x2

Reorder the terms:
-48x + xA + 4x2 = 48x + -48x + -4x2 + 4x2

Combine like terms: 48x + -48x = 0
-48x + xA + 4x2 = 0 + -4x2 + 4x2
-48x + xA + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-48x + xA + 4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-48 + A + 4x) = 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 '(-48 + A + 4x)' equal to zero and attempt to solve:

Simplifying
-48 + A + 4x = 0

Solving
-48 + A + 4x = 0

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

Add '48' to each side of the equation.
-48 + A + 48 + 4x = 0 + 48

Reorder the terms:
-48 + 48 + A + 4x = 0 + 48

Combine like terms: -48 + 48 = 0
0 + A + 4x = 0 + 48
A + 4x = 0 + 48

Combine like terms: 0 + 48 = 48
A + 4x = 48

Add '-1A' to each side of the equation.
A + -1A + 4x = 48 + -1A

Combine like terms: A + -1A = 0
0 + 4x = 48 + -1A
4x = 48 + -1A

Divide each side by '4'.
x = 12 + -0.25A

Simplifying
x = 12 + -0.25A
Solution
x = {0, 12 + -0.25A}

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