x=.05x(x+y)

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Solution for x=.05x(x+y) equation: 


Simplifying
x = 0.05x(x + y)
x = (x * 0.05x + y * 0.05x)

Reorder the terms:
x = (0.05xy + 0.05x2)
x = (0.05xy + 0.05x2)

Solving
x = 0.05xy + 0.05x2

Solving for variable 'x'.

Reorder the terms:
x + -0.05xy + -0.05x2 = 0.05xy + -0.05xy + 0.05x2 + -0.05x2

Combine like terms: 0.05xy + -0.05xy = 0.00
x + -0.05xy + -0.05x2 = 0.00 + 0.05x2 + -0.05x2
x + -0.05xy + -0.05x2 = 0.05x2 + -0.05x2

Combine like terms: 0.05x2 + -0.05x2 = 0.00
x + -0.05xy + -0.05x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -0.05y + -0.05x) = 0.00


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 '(1 + -0.05y + -0.05x)' equal to zero and attempt to solve:

Simplifying
1 + -0.05y + -0.05x = 0

Reorder the terms:
1 + -0.05x + -0.05y = 0

Solving
1 + -0.05x + -0.05y = 0

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

Add '-1' to each side of the equation.
1 + -0.05x + -1 + -0.05y = 0 + -1

Reorder the terms:
1 + -1 + -0.05x + -0.05y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.05x + -0.05y = 0 + -1
-0.05x + -0.05y = 0 + -1

Combine like terms: 0 + -1 = -1
-0.05x + -0.05y = -1

Add '0.05y' to each side of the equation.
-0.05x + -0.05y + 0.05y = -1 + 0.05y

Combine like terms: -0.05y + 0.05y = 0.00
-0.05x + 0.00 = -1 + 0.05y
-0.05x = -1 + 0.05y

Divide each side by '-0.05'.
x = 20 + -1y

Simplifying
x = 20 + -1y
Solution
x = {0, 20 + -1y}

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