(2X-4)(3X-1)=0

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Solution for (2X-4)(3X-1)=0 equation: 


Simplifying
(2X + -4)(3X + -1) = 0

Reorder the terms:
(-4 + 2X)(3X + -1) = 0

Reorder the terms:
(-4 + 2X)(-1 + 3X) = 0

Multiply (-4 + 2X) * (-1 + 3X)
(-4(-1 + 3X) + 2X * (-1 + 3X)) = 0
((-1 * -4 + 3X * -4) + 2X * (-1 + 3X)) = 0
((4 + -12X) + 2X * (-1 + 3X)) = 0
(4 + -12X + (-1 * 2X + 3X * 2X)) = 0
(4 + -12X + (-2X + 6X2)) = 0

Combine like terms: -12X + -2X = -14X
(4 + -14X + 6X2) = 0

Solving
4 + -14X + 6X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -7X + 3X2) = 0

Factor a trinomial.
2((1 + -3X)(2 + -1X)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -3X)' equal to zero and attempt to solve:

Simplifying
1 + -3X = 0

Solving
1 + -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 + -1 + -3X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3X = 0 + -1
-3X = 0 + -1

Combine like terms: 0 + -1 = -1
-3X = -1

Divide each side by '-3'.
X = 0.3333333333

Simplifying
X = 0.3333333333

Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -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 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {0.3333333333, 2}

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