3X(X+3)=3X(2X-1)

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Solution for 3X(X+3)=3X(2X-1) equation: 


Simplifying
3X(X + 3) = 3X(2X + -1)

Reorder the terms:
3X(3 + X) = 3X(2X + -1)
(3 * 3X + X * 3X) = 3X(2X + -1)
(9X + 3X2) = 3X(2X + -1)

Reorder the terms:
9X + 3X2 = 3X(-1 + 2X)
9X + 3X2 = (-1 * 3X + 2X * 3X)
9X + 3X2 = (-3X + 6X2)

Solving
9X + 3X2 = -3X + 6X2

Solving for variable 'X'.

Reorder the terms:
9X + 3X + 3X2 + -6X2 = -3X + 6X2 + 3X + -6X2

Combine like terms: 9X + 3X = 12X
12X + 3X2 + -6X2 = -3X + 6X2 + 3X + -6X2

Combine like terms: 3X2 + -6X2 = -3X2
12X + -3X2 = -3X + 6X2 + 3X + -6X2

Reorder the terms:
12X + -3X2 = -3X + 3X + 6X2 + -6X2

Combine like terms: -3X + 3X = 0
12X + -3X2 = 0 + 6X2 + -6X2
12X + -3X2 = 6X2 + -6X2

Combine like terms: 6X2 + -6X2 = 0
12X + -3X2 = 0

Factor out the Greatest Common Factor (GCF), '3X'.
3X(4 + -1X) = 0

Ignore the factor 3.

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 '(4 + -1X)' equal to zero and attempt to solve:

Simplifying
4 + -1X = 0

Solving
4 + -1X = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1X = 0 + -4
-1X = 0 + -4

Combine like terms: 0 + -4 = -4
-1X = -4

Divide each side by '-1'.
X = 4

Simplifying
X = 4
Solution
X = {0, 4}

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