2x(2x+6)(x+3)+7x-5(3x+9)(x+3)=x-12(3x+9)(2x+6)

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Solution for 2x(2x+6)(x+3)+7x-5(3x+9)(x+3)=x-12(3x+9)(2x+6) equation:


Simplifying
2x(2x + 6)(x + 3) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)

Reorder the terms:
2x(6 + 2x)(x + 3) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)

Reorder the terms:
2x(6 + 2x)(3 + x) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)

Multiply (6 + 2x) * (3 + x)
2x(6(3 + x) + 2x * (3 + x)) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)
2x((3 * 6 + x * 6) + 2x * (3 + x)) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)
2x((18 + 6x) + 2x * (3 + x)) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)
2x(18 + 6x + (3 * 2x + x * 2x)) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)
2x(18 + 6x + (6x + 2x2)) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)

Combine like terms: 6x + 6x = 12x
2x(18 + 12x + 2x2) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)
(18 * 2x + 12x * 2x + 2x2 * 2x) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)
(36x + 24x2 + 4x3) + 7x + -5(3x + 9)(x + 3) = x + -12(3x + 9)(2x + 6)

Reorder the terms:
36x + 24x2 + 4x3 + 7x + -5(9 + 3x)(x + 3) = x + -12(3x + 9)(2x + 6)

Reorder the terms:
36x + 24x2 + 4x3 + 7x + -5(9 + 3x)(3 + x) = x + -12(3x + 9)(2x + 6)

Multiply (9 + 3x) * (3 + x)
36x + 24x2 + 4x3 + 7x + -5(9(3 + x) + 3x * (3 + x)) = x + -12(3x + 9)(2x + 6)
36x + 24x2 + 4x3 + 7x + -5((3 * 9 + x * 9) + 3x * (3 + x)) = x + -12(3x + 9)(2x + 6)
36x + 24x2 + 4x3 + 7x + -5((27 + 9x) + 3x * (3 + x)) = x + -12(3x + 9)(2x + 6)
36x + 24x2 + 4x3 + 7x + -5(27 + 9x + (3 * 3x + x * 3x)) = x + -12(3x + 9)(2x + 6)
36x + 24x2 + 4x3 + 7x + -5(27 + 9x + (9x + 3x2)) = x + -12(3x + 9)(2x + 6)

Combine like terms: 9x + 9x = 18x
36x + 24x2 + 4x3 + 7x + -5(27 + 18x + 3x2) = x + -12(3x + 9)(2x + 6)
36x + 24x2 + 4x3 + 7x + (27 * -5 + 18x * -5 + 3x2 * -5) = x + -12(3x + 9)(2x + 6)
36x + 24x2 + 4x3 + 7x + (-135 + -90x + -15x2) = x + -12(3x + 9)(2x + 6)

Reorder the terms:
-135 + 36x + 7x + -90x + 24x2 + -15x2 + 4x3 = x + -12(3x + 9)(2x + 6)

Combine like terms: 36x + 7x = 43x
-135 + 43x + -90x + 24x2 + -15x2 + 4x3 = x + -12(3x + 9)(2x + 6)

Combine like terms: 43x + -90x = -47x
-135 + -47x + 24x2 + -15x2 + 4x3 = x + -12(3x + 9)(2x + 6)

Combine like terms: 24x2 + -15x2 = 9x2
-135 + -47x + 9x2 + 4x3 = x + -12(3x + 9)(2x + 6)

Reorder the terms:
-135 + -47x + 9x2 + 4x3 = x + -12(9 + 3x)(2x + 6)

Reorder the terms:
-135 + -47x + 9x2 + 4x3 = x + -12(9 + 3x)(6 + 2x)

Multiply (9 + 3x) * (6 + 2x)
-135 + -47x + 9x2 + 4x3 = x + -12(9(6 + 2x) + 3x * (6 + 2x))
-135 + -47x + 9x2 + 4x3 = x + -12((6 * 9 + 2x * 9) + 3x * (6 + 2x))
-135 + -47x + 9x2 + 4x3 = x + -12((54 + 18x) + 3x * (6 + 2x))
-135 + -47x + 9x2 + 4x3 = x + -12(54 + 18x + (6 * 3x + 2x * 3x))
-135 + -47x + 9x2 + 4x3 = x + -12(54 + 18x + (18x + 6x2))

Combine like terms: 18x + 18x = 36x
-135 + -47x + 9x2 + 4x3 = x + -12(54 + 36x + 6x2)
-135 + -47x + 9x2 + 4x3 = x + (54 * -12 + 36x * -12 + 6x2 * -12)
-135 + -47x + 9x2 + 4x3 = x + (-648 + -432x + -72x2)

Reorder the terms:
-135 + -47x + 9x2 + 4x3 = -648 + x + -432x + -72x2

Combine like terms: x + -432x = -431x
-135 + -47x + 9x2 + 4x3 = -648 + -431x + -72x2

Solving
-135 + -47x + 9x2 + 4x3 = -648 + -431x + -72x2

Solving for variable 'x'.

Reorder the terms:
-135 + 648 + -47x + 431x + 9x2 + 72x2 + 4x3 = -648 + -431x + -72x2 + 648 + 431x + 72x2

Combine like terms: -135 + 648 = 513
513 + -47x + 431x + 9x2 + 72x2 + 4x3 = -648 + -431x + -72x2 + 648 + 431x + 72x2

Combine like terms: -47x + 431x = 384x
513 + 384x + 9x2 + 72x2 + 4x3 = -648 + -431x + -72x2 + 648 + 431x + 72x2

Combine like terms: 9x2 + 72x2 = 81x2
513 + 384x + 81x2 + 4x3 = -648 + -431x + -72x2 + 648 + 431x + 72x2

Reorder the terms:
513 + 384x + 81x2 + 4x3 = -648 + 648 + -431x + 431x + -72x2 + 72x2

Combine like terms: -648 + 648 = 0
513 + 384x + 81x2 + 4x3 = 0 + -431x + 431x + -72x2 + 72x2
513 + 384x + 81x2 + 4x3 = -431x + 431x + -72x2 + 72x2

Combine like terms: -431x + 431x = 0
513 + 384x + 81x2 + 4x3 = 0 + -72x2 + 72x2
513 + 384x + 81x2 + 4x3 = -72x2 + 72x2

Combine like terms: -72x2 + 72x2 = 0
513 + 384x + 81x2 + 4x3 = 0

The solution to this equation could not be determined.

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