(x+3)(x+3)(x+3)-4=x(x+6)(x+3)-2

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Solution for (x+3)(x+3)(x+3)-4=x(x+6)(x+3)-2 equation:


Simplifying
(x + 3)(x + 3)(x + 3) + -4 = x(x + 6)(x + 3) + -2

Reorder the terms:
(3 + x)(x + 3)(x + 3) + -4 = x(x + 6)(x + 3) + -2

Reorder the terms:
(3 + x)(3 + x)(x + 3) + -4 = x(x + 6)(x + 3) + -2

Reorder the terms:
(3 + x)(3 + x)(3 + x) + -4 = x(x + 6)(x + 3) + -2

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x))(3 + x) + -4 = x(x + 6)(x + 3) + -2
((3 * 3 + x * 3) + x(3 + x))(3 + x) + -4 = x(x + 6)(x + 3) + -2
((9 + 3x) + x(3 + x))(3 + x) + -4 = x(x + 6)(x + 3) + -2
(9 + 3x + (3 * x + x * x))(3 + x) + -4 = x(x + 6)(x + 3) + -2
(9 + 3x + (3x + x2))(3 + x) + -4 = x(x + 6)(x + 3) + -2

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2)(3 + x) + -4 = x(x + 6)(x + 3) + -2

Multiply (9 + 6x + x2) * (3 + x)
(9(3 + x) + 6x * (3 + x) + x2(3 + x)) + -4 = x(x + 6)(x + 3) + -2
((3 * 9 + x * 9) + 6x * (3 + x) + x2(3 + x)) + -4 = x(x + 6)(x + 3) + -2
((27 + 9x) + 6x * (3 + x) + x2(3 + x)) + -4 = x(x + 6)(x + 3) + -2
(27 + 9x + (3 * 6x + x * 6x) + x2(3 + x)) + -4 = x(x + 6)(x + 3) + -2
(27 + 9x + (18x + 6x2) + x2(3 + x)) + -4 = x(x + 6)(x + 3) + -2
(27 + 9x + 18x + 6x2 + (3 * x2 + x * x2)) + -4 = x(x + 6)(x + 3) + -2
(27 + 9x + 18x + 6x2 + (3x2 + x3)) + -4 = x(x + 6)(x + 3) + -2

Combine like terms: 9x + 18x = 27x
(27 + 27x + 6x2 + 3x2 + x3) + -4 = x(x + 6)(x + 3) + -2

Combine like terms: 6x2 + 3x2 = 9x2
(27 + 27x + 9x2 + x3) + -4 = x(x + 6)(x + 3) + -2

Reorder the terms:
27 + -4 + 27x + 9x2 + x3 = x(x + 6)(x + 3) + -2

Combine like terms: 27 + -4 = 23
23 + 27x + 9x2 + x3 = x(x + 6)(x + 3) + -2

Reorder the terms:
23 + 27x + 9x2 + x3 = x(6 + x)(x + 3) + -2

Reorder the terms:
23 + 27x + 9x2 + x3 = x(6 + x)(3 + x) + -2

Multiply (6 + x) * (3 + x)
23 + 27x + 9x2 + x3 = x(6(3 + x) + x(3 + x)) + -2
23 + 27x + 9x2 + x3 = x((3 * 6 + x * 6) + x(3 + x)) + -2
23 + 27x + 9x2 + x3 = x((18 + 6x) + x(3 + x)) + -2
23 + 27x + 9x2 + x3 = x(18 + 6x + (3 * x + x * x)) + -2
23 + 27x + 9x2 + x3 = x(18 + 6x + (3x + x2)) + -2

Combine like terms: 6x + 3x = 9x
23 + 27x + 9x2 + x3 = x(18 + 9x + x2) + -2
23 + 27x + 9x2 + x3 = (18 * x + 9x * x + x2 * x) + -2
23 + 27x + 9x2 + x3 = (18x + 9x2 + x3) + -2

Reorder the terms:
23 + 27x + 9x2 + x3 = -2 + 18x + 9x2 + x3

Add '-9x2' to each side of the equation.
23 + 27x + 9x2 + -9x2 + x3 = -2 + 18x + 9x2 + -9x2 + x3

Combine like terms: 9x2 + -9x2 = 0
23 + 27x + 0 + x3 = -2 + 18x + 9x2 + -9x2 + x3
23 + 27x + x3 = -2 + 18x + 9x2 + -9x2 + x3

Combine like terms: 9x2 + -9x2 = 0
23 + 27x + x3 = -2 + 18x + 0 + x3
23 + 27x + x3 = -2 + 18x + x3

Add '-1x3' to each side of the equation.
23 + 27x + x3 + -1x3 = -2 + 18x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
23 + 27x + 0 = -2 + 18x + x3 + -1x3
23 + 27x = -2 + 18x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
23 + 27x = -2 + 18x + 0
23 + 27x = -2 + 18x

Solving
23 + 27x = -2 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
23 + 27x + -18x = -2 + 18x + -18x

Combine like terms: 27x + -18x = 9x
23 + 9x = -2 + 18x + -18x

Combine like terms: 18x + -18x = 0
23 + 9x = -2 + 0
23 + 9x = -2

Add '-23' to each side of the equation.
23 + -23 + 9x = -2 + -23

Combine like terms: 23 + -23 = 0
0 + 9x = -2 + -23
9x = -2 + -23

Combine like terms: -2 + -23 = -25
9x = -25

Divide each side by '9'.
x = -2.777777778

Simplifying
x = -2.777777778

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