(X+3)3-5=x(x+7)(x+2)-3

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Solution for (X+3)3-5=x(x+7)(x+2)-3 equation: 


Simplifying
(X + 3) * 3 + -5 = x(x + 7)(x + 2) + -3

Reorder the terms:
(3 + X) * 3 + -5 = x(x + 7)(x + 2) + -3

Reorder the terms for easier multiplication:
3(3 + X) + -5 = x(x + 7)(x + 2) + -3
(3 * 3 + X * 3) + -5 = x(x + 7)(x + 2) + -3
(9 + 3X) + -5 = x(x + 7)(x + 2) + -3

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

Combine like terms: 9 + -5 = 4
4 + 3X = x(x + 7)(x + 2) + -3

Reorder the terms:
4 + 3X = x(7 + x)(x + 2) + -3

Reorder the terms:
4 + 3X = x(7 + x)(2 + x) + -3

Multiply (7 + x) * (2 + x)
4 + 3X = x(7(2 + x) + x(2 + x)) + -3
4 + 3X = x((2 * 7 + x * 7) + x(2 + x)) + -3
4 + 3X = x((14 + 7x) + x(2 + x)) + -3
4 + 3X = x(14 + 7x + (2 * x + x * x)) + -3
4 + 3X = x(14 + 7x + (2x + x2)) + -3

Combine like terms: 7x + 2x = 9x
4 + 3X = x(14 + 9x + x2) + -3
4 + 3X = (14 * x + 9x * x + x2 * x) + -3
4 + 3X = (14x + 9x2 + x3) + -3

Reorder the terms:
4 + 3X = -3 + 14x + 9x2 + x3

Solving
4 + 3X = -3 + 14x + 9x2 + x3

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + -4 + 3X = -3 + 14x + 9x2 + -4 + x3

Combine like terms: 4 + -4 = 0
0 + 3X = -3 + 14x + 9x2 + -4 + x3
3X = -3 + 14x + 9x2 + -4 + x3

Reorder the terms:
3X = -3 + -4 + 14x + 9x2 + x3

Combine like terms: -3 + -4 = -7
3X = -7 + 14x + 9x2 + x3

Divide each side by '3'.
X = -2.333333333 + 4.666666667x + 3x2 + 0.3333333333x3

Simplifying
X = -2.333333333 + 4.666666667x + 3x2 + 0.3333333333x3

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