A(x)=x(x-2)

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


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

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

Reorder the terms:
xA = x(-2 + x)
xA = (-2 * x + x * x)
xA = (-2x + x2)

Solving
xA = -2x + x2

Solving for variable 'x'.

Reorder the terms:
2x + xA + -1x2 = -2x + x2 + 2x + -1x2

Reorder the terms:
2x + xA + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
2x + xA + -1x2 = 0 + x2 + -1x2
2x + xA + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + xA + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + A + -1x) = 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 '(2 + A + -1x)' equal to zero and attempt to solve:

Simplifying
2 + A + -1x = 0

Solving
2 + A + -1x = 0

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

Add '-2' to each side of the equation.
2 + A + -2 + -1x = 0 + -2

Reorder the terms:
2 + -2 + A + -1x = 0 + -2

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

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

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

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

Divide each side by '-1'.
x = 2 + A

Simplifying
x = 2 + A
Solution
x = {0, 2 + A}

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