X^2(3x+2)-6x(3x+2)=7(3x+2)

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Solution for X^2(3x+2)-6x(3x+2)=7(3x+2) equation: 


Simplifying
X2(3x + 2) + -6x(3x + 2) = 7(3x + 2)

Reorder the terms:
X2(2 + 3x) + -6x(3x + 2) = 7(3x + 2)
(2 * X2 + 3x * X2) + -6x(3x + 2) = 7(3x + 2)
(2X2 + 3xX2) + -6x(3x + 2) = 7(3x + 2)

Reorder the terms:
2X2 + 3xX2 + -6x(2 + 3x) = 7(3x + 2)
2X2 + 3xX2 + (2 * -6x + 3x * -6x) = 7(3x + 2)
2X2 + 3xX2 + (-12x + -18x2) = 7(3x + 2)

Reorder the terms:
2X2 + -12x + 3xX2 + -18x2 = 7(3x + 2)

Reorder the terms:
2X2 + -12x + 3xX2 + -18x2 = 7(2 + 3x)
2X2 + -12x + 3xX2 + -18x2 = (2 * 7 + 3x * 7)
2X2 + -12x + 3xX2 + -18x2 = (14 + 21x)

Solving
2X2 + -12x + 3xX2 + -18x2 = 14 + 21x

Solving for variable 'X'.

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

Add '12x' to each side of the equation.
2X2 + -12x + 3xX2 + 12x + -18x2 = 14 + 21x + 12x

Reorder the terms:
2X2 + -12x + 12x + 3xX2 + -18x2 = 14 + 21x + 12x

Combine like terms: -12x + 12x = 0
2X2 + 0 + 3xX2 + -18x2 = 14 + 21x + 12x
2X2 + 3xX2 + -18x2 = 14 + 21x + 12x

Combine like terms: 21x + 12x = 33x
2X2 + 3xX2 + -18x2 = 14 + 33x

Add '18x2' to each side of the equation.
2X2 + 3xX2 + -18x2 + 18x2 = 14 + 33x + 18x2

Combine like terms: -18x2 + 18x2 = 0
2X2 + 3xX2 + 0 = 14 + 33x + 18x2
2X2 + 3xX2 = 14 + 33x + 18x2

Reorder the terms:
-14 + 2X2 + -33x + 3xX2 + -18x2 = 14 + 33x + 18x2 + -14 + -33x + -18x2

Reorder the terms:
-14 + 2X2 + -33x + 3xX2 + -18x2 = 14 + -14 + 33x + -33x + 18x2 + -18x2

Combine like terms: 14 + -14 = 0
-14 + 2X2 + -33x + 3xX2 + -18x2 = 0 + 33x + -33x + 18x2 + -18x2
-14 + 2X2 + -33x + 3xX2 + -18x2 = 33x + -33x + 18x2 + -18x2

Combine like terms: 33x + -33x = 0
-14 + 2X2 + -33x + 3xX2 + -18x2 = 0 + 18x2 + -18x2
-14 + 2X2 + -33x + 3xX2 + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-14 + 2X2 + -33x + 3xX2 + -18x2 = 0

The solution to this equation could not be determined.

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