(X+4)(x+4)(x+4)-9=x(x+6)(x+6)-1

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Solution for (X+4)(x+4)(x+4)-9=x(x+6)(x+6)-1 equation:


Simplifying
(X + 4)(x + 4)(x + 4) + -9 = x(x + 6)(x + 6) + -1

Reorder the terms:
(4 + X)(x + 4)(x + 4) + -9 = x(x + 6)(x + 6) + -1

Reorder the terms:
(4 + X)(4 + x)(x + 4) + -9 = x(x + 6)(x + 6) + -1

Reorder the terms:
(4 + X)(4 + x)(4 + x) + -9 = x(x + 6)(x + 6) + -1

Multiply (4 + X) * (4 + x)
(4(4 + x) + X(4 + x))(4 + x) + -9 = x(x + 6)(x + 6) + -1
((4 * 4 + x * 4) + X(4 + x))(4 + x) + -9 = x(x + 6)(x + 6) + -1
((16 + 4x) + X(4 + x))(4 + x) + -9 = x(x + 6)(x + 6) + -1
(16 + 4x + (4 * X + x * X))(4 + x) + -9 = x(x + 6)(x + 6) + -1
(16 + 4x + (4X + xX))(4 + x) + -9 = x(x + 6)(x + 6) + -1

Reorder the terms:
(16 + 4X + 4x + xX)(4 + x) + -9 = x(x + 6)(x + 6) + -1
(16 + 4X + 4x + xX)(4 + x) + -9 = x(x + 6)(x + 6) + -1

Multiply (16 + 4X + 4x + xX) * (4 + x)
(16(4 + x) + 4X * (4 + x) + 4x * (4 + x) + xX(4 + x)) + -9 = x(x + 6)(x + 6) + -1
((4 * 16 + x * 16) + 4X * (4 + x) + 4x * (4 + x) + xX(4 + x)) + -9 = x(x + 6)(x + 6) + -1
((64 + 16x) + 4X * (4 + x) + 4x * (4 + x) + xX(4 + x)) + -9 = x(x + 6)(x + 6) + -1
(64 + 16x + (4 * 4X + x * 4X) + 4x * (4 + x) + xX(4 + x)) + -9 = x(x + 6)(x + 6) + -1
(64 + 16x + (16X + 4xX) + 4x * (4 + x) + xX(4 + x)) + -9 = x(x + 6)(x + 6) + -1
(64 + 16x + 16X + 4xX + (4 * 4x + x * 4x) + xX(4 + x)) + -9 = x(x + 6)(x + 6) + -1
(64 + 16x + 16X + 4xX + (16x + 4x2) + xX(4 + x)) + -9 = x(x + 6)(x + 6) + -1
(64 + 16x + 16X + 4xX + 16x + 4x2 + (4 * xX + x * xX)) + -9 = x(x + 6)(x + 6) + -1
(64 + 16x + 16X + 4xX + 16x + 4x2 + (4xX + x2X)) + -9 = x(x + 6)(x + 6) + -1

Reorder the terms:
(64 + 16X + 16x + 16x + 4xX + 4xX + 4x2 + x2X) + -9 = x(x + 6)(x + 6) + -1

Combine like terms: 16x + 16x = 32x
(64 + 16X + 32x + 4xX + 4xX + 4x2 + x2X) + -9 = x(x + 6)(x + 6) + -1

Combine like terms: 4xX + 4xX = 8xX
(64 + 16X + 32x + 8xX + 4x2 + x2X) + -9 = x(x + 6)(x + 6) + -1

Reorder the terms:
64 + -9 + 16X + 32x + 8xX + 4x2 + x2X = x(x + 6)(x + 6) + -1

Combine like terms: 64 + -9 = 55
55 + 16X + 32x + 8xX + 4x2 + x2X = x(x + 6)(x + 6) + -1

Reorder the terms:
55 + 16X + 32x + 8xX + 4x2 + x2X = x(6 + x)(x + 6) + -1

Reorder the terms:
55 + 16X + 32x + 8xX + 4x2 + x2X = x(6 + x)(6 + x) + -1

Multiply (6 + x) * (6 + x)
55 + 16X + 32x + 8xX + 4x2 + x2X = x(6(6 + x) + x(6 + x)) + -1
55 + 16X + 32x + 8xX + 4x2 + x2X = x((6 * 6 + x * 6) + x(6 + x)) + -1
55 + 16X + 32x + 8xX + 4x2 + x2X = x((36 + 6x) + x(6 + x)) + -1
55 + 16X + 32x + 8xX + 4x2 + x2X = x(36 + 6x + (6 * x + x * x)) + -1
55 + 16X + 32x + 8xX + 4x2 + x2X = x(36 + 6x + (6x + x2)) + -1

Combine like terms: 6x + 6x = 12x
55 + 16X + 32x + 8xX + 4x2 + x2X = x(36 + 12x + x2) + -1
55 + 16X + 32x + 8xX + 4x2 + x2X = (36 * x + 12x * x + x2 * x) + -1
55 + 16X + 32x + 8xX + 4x2 + x2X = (36x + 12x2 + x3) + -1

Reorder the terms:
55 + 16X + 32x + 8xX + 4x2 + x2X = -1 + 36x + 12x2 + x3

Solving
55 + 16X + 32x + 8xX + 4x2 + x2X = -1 + 36x + 12x2 + x3

Solving for variable 'X'.

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

Add '-55' to each side of the equation.
55 + 16X + 32x + 8xX + 4x2 + -55 + x2X = -1 + 36x + 12x2 + -55 + x3

Reorder the terms:
55 + -55 + 16X + 32x + 8xX + 4x2 + x2X = -1 + 36x + 12x2 + -55 + x3

Combine like terms: 55 + -55 = 0
0 + 16X + 32x + 8xX + 4x2 + x2X = -1 + 36x + 12x2 + -55 + x3
16X + 32x + 8xX + 4x2 + x2X = -1 + 36x + 12x2 + -55 + x3

Reorder the terms:
16X + 32x + 8xX + 4x2 + x2X = -1 + -55 + 36x + 12x2 + x3

Combine like terms: -1 + -55 = -56
16X + 32x + 8xX + 4x2 + x2X = -56 + 36x + 12x2 + x3

Add '-32x' to each side of the equation.
16X + 32x + 8xX + 4x2 + -32x + x2X = -56 + 36x + 12x2 + -32x + x3

Reorder the terms:
16X + 32x + -32x + 8xX + 4x2 + x2X = -56 + 36x + 12x2 + -32x + x3

Combine like terms: 32x + -32x = 0
16X + 0 + 8xX + 4x2 + x2X = -56 + 36x + 12x2 + -32x + x3
16X + 8xX + 4x2 + x2X = -56 + 36x + 12x2 + -32x + x3

Reorder the terms:
16X + 8xX + 4x2 + x2X = -56 + 36x + -32x + 12x2 + x3

Combine like terms: 36x + -32x = 4x
16X + 8xX + 4x2 + x2X = -56 + 4x + 12x2 + x3

Add '-4x2' to each side of the equation.
16X + 8xX + 4x2 + -4x2 + x2X = -56 + 4x + 12x2 + -4x2 + x3

Combine like terms: 4x2 + -4x2 = 0
16X + 8xX + 0 + x2X = -56 + 4x + 12x2 + -4x2 + x3
16X + 8xX + x2X = -56 + 4x + 12x2 + -4x2 + x3

Combine like terms: 12x2 + -4x2 = 8x2
16X + 8xX + x2X = -56 + 4x + 8x2 + x3

Reorder the terms:
56 + 16X + -4x + 8xX + -8x2 + x2X + -1x3 = -56 + 4x + 8x2 + x3 + 56 + -4x + -8x2 + -1x3

Reorder the terms:
56 + 16X + -4x + 8xX + -8x2 + x2X + -1x3 = -56 + 56 + 4x + -4x + 8x2 + -8x2 + x3 + -1x3

Combine like terms: -56 + 56 = 0
56 + 16X + -4x + 8xX + -8x2 + x2X + -1x3 = 0 + 4x + -4x + 8x2 + -8x2 + x3 + -1x3
56 + 16X + -4x + 8xX + -8x2 + x2X + -1x3 = 4x + -4x + 8x2 + -8x2 + x3 + -1x3

Combine like terms: 4x + -4x = 0
56 + 16X + -4x + 8xX + -8x2 + x2X + -1x3 = 0 + 8x2 + -8x2 + x3 + -1x3
56 + 16X + -4x + 8xX + -8x2 + x2X + -1x3 = 8x2 + -8x2 + x3 + -1x3

Combine like terms: 8x2 + -8x2 = 0
56 + 16X + -4x + 8xX + -8x2 + x2X + -1x3 = 0 + x3 + -1x3
56 + 16X + -4x + 8xX + -8x2 + x2X + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
56 + 16X + -4x + 8xX + -8x2 + x2X + -1x3 = 0

The solution to this equation could not be determined.

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