(x+3)(x+3)(x+3)-2=x(x+4)(x+5)-5

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Solution for (x+3)(x+3)(x+3)-2=x(x+4)(x+5)-5 equation:


Simplifying
(x + 3)(x + 3)(x + 3) + -2 = x(x + 4)(x + 5) + -5

Reorder the terms:
(3 + x)(x + 3)(x + 3) + -2 = x(x + 4)(x + 5) + -5

Reorder the terms:
(3 + x)(3 + x)(x + 3) + -2 = x(x + 4)(x + 5) + -5

Reorder the terms:
(3 + x)(3 + x)(3 + x) + -2 = x(x + 4)(x + 5) + -5

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x))(3 + x) + -2 = x(x + 4)(x + 5) + -5
((3 * 3 + x * 3) + x(3 + x))(3 + x) + -2 = x(x + 4)(x + 5) + -5
((9 + 3x) + x(3 + x))(3 + x) + -2 = x(x + 4)(x + 5) + -5
(9 + 3x + (3 * x + x * x))(3 + x) + -2 = x(x + 4)(x + 5) + -5
(9 + 3x + (3x + x2))(3 + x) + -2 = x(x + 4)(x + 5) + -5

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2)(3 + x) + -2 = x(x + 4)(x + 5) + -5

Multiply (9 + 6x + x2) * (3 + x)
(9(3 + x) + 6x * (3 + x) + x2(3 + x)) + -2 = x(x + 4)(x + 5) + -5
((3 * 9 + x * 9) + 6x * (3 + x) + x2(3 + x)) + -2 = x(x + 4)(x + 5) + -5
((27 + 9x) + 6x * (3 + x) + x2(3 + x)) + -2 = x(x + 4)(x + 5) + -5
(27 + 9x + (3 * 6x + x * 6x) + x2(3 + x)) + -2 = x(x + 4)(x + 5) + -5
(27 + 9x + (18x + 6x2) + x2(3 + x)) + -2 = x(x + 4)(x + 5) + -5
(27 + 9x + 18x + 6x2 + (3 * x2 + x * x2)) + -2 = x(x + 4)(x + 5) + -5
(27 + 9x + 18x + 6x2 + (3x2 + x3)) + -2 = x(x + 4)(x + 5) + -5

Combine like terms: 9x + 18x = 27x
(27 + 27x + 6x2 + 3x2 + x3) + -2 = x(x + 4)(x + 5) + -5

Combine like terms: 6x2 + 3x2 = 9x2
(27 + 27x + 9x2 + x3) + -2 = x(x + 4)(x + 5) + -5

Reorder the terms:
27 + -2 + 27x + 9x2 + x3 = x(x + 4)(x + 5) + -5

Combine like terms: 27 + -2 = 25
25 + 27x + 9x2 + x3 = x(x + 4)(x + 5) + -5

Reorder the terms:
25 + 27x + 9x2 + x3 = x(4 + x)(x + 5) + -5

Reorder the terms:
25 + 27x + 9x2 + x3 = x(4 + x)(5 + x) + -5

Multiply (4 + x) * (5 + x)
25 + 27x + 9x2 + x3 = x(4(5 + x) + x(5 + x)) + -5
25 + 27x + 9x2 + x3 = x((5 * 4 + x * 4) + x(5 + x)) + -5
25 + 27x + 9x2 + x3 = x((20 + 4x) + x(5 + x)) + -5
25 + 27x + 9x2 + x3 = x(20 + 4x + (5 * x + x * x)) + -5
25 + 27x + 9x2 + x3 = x(20 + 4x + (5x + x2)) + -5

Combine like terms: 4x + 5x = 9x
25 + 27x + 9x2 + x3 = x(20 + 9x + x2) + -5
25 + 27x + 9x2 + x3 = (20 * x + 9x * x + x2 * x) + -5
25 + 27x + 9x2 + x3 = (20x + 9x2 + x3) + -5

Reorder the terms:
25 + 27x + 9x2 + x3 = -5 + 20x + 9x2 + x3

Add '-9x2' to each side of the equation.
25 + 27x + 9x2 + -9x2 + x3 = -5 + 20x + 9x2 + -9x2 + x3

Combine like terms: 9x2 + -9x2 = 0
25 + 27x + 0 + x3 = -5 + 20x + 9x2 + -9x2 + x3
25 + 27x + x3 = -5 + 20x + 9x2 + -9x2 + x3

Combine like terms: 9x2 + -9x2 = 0
25 + 27x + x3 = -5 + 20x + 0 + x3
25 + 27x + x3 = -5 + 20x + x3

Add '-1x3' to each side of the equation.
25 + 27x + x3 + -1x3 = -5 + 20x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
25 + 27x + 0 = -5 + 20x + x3 + -1x3
25 + 27x = -5 + 20x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
25 + 27x = -5 + 20x + 0
25 + 27x = -5 + 20x

Solving
25 + 27x = -5 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
25 + 27x + -20x = -5 + 20x + -20x

Combine like terms: 27x + -20x = 7x
25 + 7x = -5 + 20x + -20x

Combine like terms: 20x + -20x = 0
25 + 7x = -5 + 0
25 + 7x = -5

Add '-25' to each side of the equation.
25 + -25 + 7x = -5 + -25

Combine like terms: 25 + -25 = 0
0 + 7x = -5 + -25
7x = -5 + -25

Combine like terms: -5 + -25 = -30
7x = -30

Divide each side by '7'.
x = -4.285714286

Simplifying
x = -4.285714286

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