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

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


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

Reorder the terms:
3x(-4 + 2x) + -1x(4x + -1) = 0
(-4 * 3x + 2x * 3x) + -1x(4x + -1) = 0
(-12x + 6x2) + -1x(4x + -1) = 0

Reorder the terms:
-12x + 6x2 + -1x(-1 + 4x) = 0
-12x + 6x2 + (-1 * -1x + 4x * -1x) = 0
-12x + 6x2 + (1x + -4x2) = 0

Reorder the terms:
-12x + 1x + 6x2 + -4x2 = 0

Combine like terms: -12x + 1x = -11x
-11x + 6x2 + -4x2 = 0

Combine like terms: 6x2 + -4x2 = 2x2
-11x + 2x2 = 0

Solving
-11x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 2x) = 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 '(-11 + 2x)' equal to zero and attempt to solve:

Simplifying
-11 + 2x = 0

Solving
-11 + 2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 0 + 11
2x = 0 + 11

Combine like terms: 0 + 11 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {0, 5.5}

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