(x+3)(x+3)(x+3)-3=x(x+8)(x+1)-1

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Solution for (x+3)(x+3)(x+3)-3=x(x+8)(x+1)-1 equation:


Simplifying
(x + 3)(x + 3)(x + 3) + -3 = x(x + 8)(x + 1) + -1

Reorder the terms:
(3 + x)(x + 3)(x + 3) + -3 = x(x + 8)(x + 1) + -1

Reorder the terms:
(3 + x)(3 + x)(x + 3) + -3 = x(x + 8)(x + 1) + -1

Reorder the terms:
(3 + x)(3 + x)(3 + x) + -3 = x(x + 8)(x + 1) + -1

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x))(3 + x) + -3 = x(x + 8)(x + 1) + -1
((3 * 3 + x * 3) + x(3 + x))(3 + x) + -3 = x(x + 8)(x + 1) + -1
((9 + 3x) + x(3 + x))(3 + x) + -3 = x(x + 8)(x + 1) + -1
(9 + 3x + (3 * x + x * x))(3 + x) + -3 = x(x + 8)(x + 1) + -1
(9 + 3x + (3x + x2))(3 + x) + -3 = x(x + 8)(x + 1) + -1

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2)(3 + x) + -3 = x(x + 8)(x + 1) + -1

Multiply (9 + 6x + x2) * (3 + x)
(9(3 + x) + 6x * (3 + x) + x2(3 + x)) + -3 = x(x + 8)(x + 1) + -1
((3 * 9 + x * 9) + 6x * (3 + x) + x2(3 + x)) + -3 = x(x + 8)(x + 1) + -1
((27 + 9x) + 6x * (3 + x) + x2(3 + x)) + -3 = x(x + 8)(x + 1) + -1
(27 + 9x + (3 * 6x + x * 6x) + x2(3 + x)) + -3 = x(x + 8)(x + 1) + -1
(27 + 9x + (18x + 6x2) + x2(3 + x)) + -3 = x(x + 8)(x + 1) + -1
(27 + 9x + 18x + 6x2 + (3 * x2 + x * x2)) + -3 = x(x + 8)(x + 1) + -1
(27 + 9x + 18x + 6x2 + (3x2 + x3)) + -3 = x(x + 8)(x + 1) + -1

Combine like terms: 9x + 18x = 27x
(27 + 27x + 6x2 + 3x2 + x3) + -3 = x(x + 8)(x + 1) + -1

Combine like terms: 6x2 + 3x2 = 9x2
(27 + 27x + 9x2 + x3) + -3 = x(x + 8)(x + 1) + -1

Reorder the terms:
27 + -3 + 27x + 9x2 + x3 = x(x + 8)(x + 1) + -1

Combine like terms: 27 + -3 = 24
24 + 27x + 9x2 + x3 = x(x + 8)(x + 1) + -1

Reorder the terms:
24 + 27x + 9x2 + x3 = x(8 + x)(x + 1) + -1

Reorder the terms:
24 + 27x + 9x2 + x3 = x(8 + x)(1 + x) + -1

Multiply (8 + x) * (1 + x)
24 + 27x + 9x2 + x3 = x(8(1 + x) + x(1 + x)) + -1
24 + 27x + 9x2 + x3 = x((1 * 8 + x * 8) + x(1 + x)) + -1
24 + 27x + 9x2 + x3 = x((8 + 8x) + x(1 + x)) + -1
24 + 27x + 9x2 + x3 = x(8 + 8x + (1 * x + x * x)) + -1
24 + 27x + 9x2 + x3 = x(8 + 8x + (1x + x2)) + -1

Combine like terms: 8x + 1x = 9x
24 + 27x + 9x2 + x3 = x(8 + 9x + x2) + -1
24 + 27x + 9x2 + x3 = (8 * x + 9x * x + x2 * x) + -1
24 + 27x + 9x2 + x3 = (8x + 9x2 + x3) + -1

Reorder the terms:
24 + 27x + 9x2 + x3 = -1 + 8x + 9x2 + x3

Add '-9x2' to each side of the equation.
24 + 27x + 9x2 + -9x2 + x3 = -1 + 8x + 9x2 + -9x2 + x3

Combine like terms: 9x2 + -9x2 = 0
24 + 27x + 0 + x3 = -1 + 8x + 9x2 + -9x2 + x3
24 + 27x + x3 = -1 + 8x + 9x2 + -9x2 + x3

Combine like terms: 9x2 + -9x2 = 0
24 + 27x + x3 = -1 + 8x + 0 + x3
24 + 27x + x3 = -1 + 8x + x3

Add '-1x3' to each side of the equation.
24 + 27x + x3 + -1x3 = -1 + 8x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
24 + 27x + 0 = -1 + 8x + x3 + -1x3
24 + 27x = -1 + 8x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
24 + 27x = -1 + 8x + 0
24 + 27x = -1 + 8x

Solving
24 + 27x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + 27x + -8x = -1 + 8x + -8x

Combine like terms: 27x + -8x = 19x
24 + 19x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + 19x = -1 + 0
24 + 19x = -1

Add '-24' to each side of the equation.
24 + -24 + 19x = -1 + -24

Combine like terms: 24 + -24 = 0
0 + 19x = -1 + -24
19x = -1 + -24

Combine like terms: -1 + -24 = -25
19x = -25

Divide each side by '19'.
x = -1.315789474

Simplifying
x = -1.315789474

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