x=3x(x-a)

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Solution for x=3x(x-a) equation: 


Simplifying
x = 3x(x + -1a)

Reorder the terms:
x = 3x(-1a + x)
x = (-1a * 3x + x * 3x)
x = (-3ax + 3x2)

Solving
x = -3ax + 3x2

Solving for variable 'x'.

Reorder the terms:
3ax + x + -3x2 = -3ax + 3x2 + 3ax + -3x2

Reorder the terms:
3ax + x + -3x2 = -3ax + 3ax + 3x2 + -3x2

Combine like terms: -3ax + 3ax = 0
3ax + x + -3x2 = 0 + 3x2 + -3x2
3ax + x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
3ax + x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(3a + 1 + -3x) = 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 '(3a + 1 + -3x)' equal to zero and attempt to solve:

Simplifying
3a + 1 + -3x = 0

Reorder the terms:
1 + 3a + -3x = 0

Solving
1 + 3a + -3x = 0

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

Add '-1' to each side of the equation.
1 + 3a + -1 + -3x = 0 + -1

Reorder the terms:
1 + -1 + 3a + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3a + -3x = 0 + -1
3a + -3x = 0 + -1

Combine like terms: 0 + -1 = -1
3a + -3x = -1

Add '-3a' to each side of the equation.
3a + -3a + -3x = -1 + -3a

Combine like terms: 3a + -3a = 0
0 + -3x = -1 + -3a
-3x = -1 + -3a

Divide each side by '-3'.
x = 0.3333333333 + a

Simplifying
x = 0.3333333333 + a
Solution
x = {0, 0.3333333333 + a}

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