3x(4x-2)=12x

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Solution for 3x(4x-2)=12x equation: 


Simplifying
3x(4x + -2) = 12x

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

Solving
-6x + 12x2 = 12x

Solving for variable 'x'.

Reorder the terms:
-6x + -12x + 12x2 = 12x + -12x

Combine like terms: -6x + -12x = -18x
-18x + 12x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-18x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-3 + 2x) = 0

Ignore the factor 6.

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 '(-3 + 2x)' equal to zero and attempt to solve:

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 0 + 3
2x = 0 + 3

Combine like terms: 0 + 3 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0, 1.5}

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