6x^2+x-c=(cx-1)(3x+2)

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Solution for 6x^2+x-c=(cx-1)(3x+2) equation: 


Simplifying
6x2 + x + -1c = (cx + -1)(3x + 2)

Reorder the terms:
-1c + x + 6x2 = (cx + -1)(3x + 2)

Reorder the terms:
-1c + x + 6x2 = (-1 + cx)(3x + 2)

Reorder the terms:
-1c + x + 6x2 = (-1 + cx)(2 + 3x)

Multiply (-1 + cx) * (2 + 3x)
-1c + x + 6x2 = (-1(2 + 3x) + cx(2 + 3x))
-1c + x + 6x2 = ((2 * -1 + 3x * -1) + cx(2 + 3x))
-1c + x + 6x2 = ((-2 + -3x) + cx(2 + 3x))
-1c + x + 6x2 = (-2 + -3x + (2 * cx + 3x * cx))
-1c + x + 6x2 = (-2 + -3x + (2cx + 3cx2))

Reorder the terms:
-1c + x + 6x2 = (-2 + 2cx + 3cx2 + -3x)
-1c + x + 6x2 = (-2 + 2cx + 3cx2 + -3x)

Solving
-1c + x + 6x2 = -2 + 2cx + 3cx2 + -3x

Solving for variable 'c'.

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

Add '-2cx' to each side of the equation.
-1c + x + -2cx + 6x2 = -2 + 2cx + 3cx2 + -2cx + -3x

Reorder the terms:
-1c + -2cx + x + 6x2 = -2 + 2cx + 3cx2 + -2cx + -3x

Reorder the terms:
-1c + -2cx + x + 6x2 = -2 + 2cx + -2cx + 3cx2 + -3x

Combine like terms: 2cx + -2cx = 0
-1c + -2cx + x + 6x2 = -2 + 0 + 3cx2 + -3x
-1c + -2cx + x + 6x2 = -2 + 3cx2 + -3x

Add '-3cx2' to each side of the equation.
-1c + -2cx + x + -3cx2 + 6x2 = -2 + 3cx2 + -3cx2 + -3x

Reorder the terms:
-1c + -2cx + -3cx2 + x + 6x2 = -2 + 3cx2 + -3cx2 + -3x

Combine like terms: 3cx2 + -3cx2 = 0
-1c + -2cx + -3cx2 + x + 6x2 = -2 + 0 + -3x
-1c + -2cx + -3cx2 + x + 6x2 = -2 + -3x

Add '-1x' to each side of the equation.
-1c + -2cx + -3cx2 + x + -1x + 6x2 = -2 + -3x + -1x

Combine like terms: x + -1x = 0
-1c + -2cx + -3cx2 + 0 + 6x2 = -2 + -3x + -1x
-1c + -2cx + -3cx2 + 6x2 = -2 + -3x + -1x

Combine like terms: -3x + -1x = -4x
-1c + -2cx + -3cx2 + 6x2 = -2 + -4x

Add '-6x2' to each side of the equation.
-1c + -2cx + -3cx2 + 6x2 + -6x2 = -2 + -4x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-1c + -2cx + -3cx2 + 0 = -2 + -4x + -6x2
-1c + -2cx + -3cx2 = -2 + -4x + -6x2

Reorder the terms:
2 + -1c + -2cx + -3cx2 + 4x + 6x2 = -2 + -4x + -6x2 + 2 + 4x + 6x2

Reorder the terms:
2 + -1c + -2cx + -3cx2 + 4x + 6x2 = -2 + 2 + -4x + 4x + -6x2 + 6x2

Combine like terms: -2 + 2 = 0
2 + -1c + -2cx + -3cx2 + 4x + 6x2 = 0 + -4x + 4x + -6x2 + 6x2
2 + -1c + -2cx + -3cx2 + 4x + 6x2 = -4x + 4x + -6x2 + 6x2

Combine like terms: -4x + 4x = 0
2 + -1c + -2cx + -3cx2 + 4x + 6x2 = 0 + -6x2 + 6x2
2 + -1c + -2cx + -3cx2 + 4x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
2 + -1c + -2cx + -3cx2 + 4x + 6x2 = 0

The solution to this equation could not be determined.

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