2x(3x-a)-9x=2a(x-3)

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Solution for 2x(3x-a)-9x=2a(x-3) equation: 


Simplifying
2x(3x + -1a) + -9x = 2a(x + -3)

Reorder the terms:
2x(-1a + 3x) + -9x = 2a(x + -3)
(-1a * 2x + 3x * 2x) + -9x = 2a(x + -3)
(-2ax + 6x2) + -9x = 2a(x + -3)

Reorder the terms:
-2ax + -9x + 6x2 = 2a(x + -3)

Reorder the terms:
-2ax + -9x + 6x2 = 2a(-3 + x)
-2ax + -9x + 6x2 = (-3 * 2a + x * 2a)
-2ax + -9x + 6x2 = (-6a + 2ax)

Solving
-2ax + -9x + 6x2 = -6a + 2ax

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-2ax + -9x + 6a + 6x2 = -6a + 6a + 2ax

Reorder the terms:
6a + -2ax + -9x + 6x2 = -6a + 6a + 2ax

Combine like terms: -6a + 6a = 0
6a + -2ax + -9x + 6x2 = 0 + 2ax
6a + -2ax + -9x + 6x2 = 2ax

Add '-2ax' to each side of the equation.
6a + -2ax + -9x + -2ax + 6x2 = 2ax + -2ax

Reorder the terms:
6a + -2ax + -2ax + -9x + 6x2 = 2ax + -2ax

Combine like terms: -2ax + -2ax = -4ax
6a + -4ax + -9x + 6x2 = 2ax + -2ax

Combine like terms: 2ax + -2ax = 0
6a + -4ax + -9x + 6x2 = 0

Add '9x' to each side of the equation.
6a + -4ax + -9x + 9x + 6x2 = 0 + 9x

Combine like terms: -9x + 9x = 0
6a + -4ax + 0 + 6x2 = 0 + 9x
6a + -4ax + 6x2 = 0 + 9x
Remove the zero:
6a + -4ax + 6x2 = 9x

Add '-6x2' to each side of the equation.
6a + -4ax + 6x2 + -6x2 = 9x + -6x2

Combine like terms: 6x2 + -6x2 = 0
6a + -4ax + 0 = 9x + -6x2
6a + -4ax = 9x + -6x2

Reorder the terms:
6a + -4ax + -9x + 6x2 = 9x + -9x + -6x2 + 6x2

Combine like terms: 9x + -9x = 0
6a + -4ax + -9x + 6x2 = 0 + -6x2 + 6x2
6a + -4ax + -9x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
6a + -4ax + -9x + 6x2 = 0

The solution to this equation could not be determined.

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