2x^2-6x-4ax+12a=

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Solution for 2x^2-6x-4ax+12a= equation: 


Simplifying
2x2 + -6x + -4ax + 12a = 0

Reorder the terms:
12a + -4ax + -6x + 2x2 = 0

Solving
12a + -4ax + -6x + 2x2 = 0

Solving for variable 'a'.

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

Add '6x' to each side of the equation.
12a + -4ax + -6x + 6x + 2x2 = 0 + 6x

Combine like terms: -6x + 6x = 0
12a + -4ax + 0 + 2x2 = 0 + 6x
12a + -4ax + 2x2 = 0 + 6x
Remove the zero:
12a + -4ax + 2x2 = 6x

Add '-2x2' to each side of the equation.
12a + -4ax + 2x2 + -2x2 = 6x + -2x2

Combine like terms: 2x2 + -2x2 = 0
12a + -4ax + 0 = 6x + -2x2
12a + -4ax = 6x + -2x2

Reorder the terms:
12a + -4ax + -6x + 2x2 = 6x + -6x + -2x2 + 2x2

Combine like terms: 6x + -6x = 0
12a + -4ax + -6x + 2x2 = 0 + -2x2 + 2x2
12a + -4ax + -6x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
12a + -4ax + -6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6a + -2ax + -3x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6a + -2ax + -3x + x2)' equal to zero and attempt to solve:

Simplifying
6a + -2ax + -3x + x2 = 0

Solving
6a + -2ax + -3x + x2 = 0

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

Add '3x' to each side of the equation.
6a + -2ax + -3x + 3x + x2 = 0 + 3x

Combine like terms: -3x + 3x = 0
6a + -2ax + 0 + x2 = 0 + 3x
6a + -2ax + x2 = 0 + 3x
Remove the zero:
6a + -2ax + x2 = 3x

Add '-1x2' to each side of the equation.
6a + -2ax + x2 + -1x2 = 3x + -1x2

Combine like terms: x2 + -1x2 = 0
6a + -2ax + 0 = 3x + -1x2
6a + -2ax = 3x + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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