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

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


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

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

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

Reorder the terms:
-5 + 3bcdeu + bcdeux = x(x + 7)(x + 2) + -3

Reorder the terms:
-5 + 3bcdeu + bcdeux = x(7 + x)(x + 2) + -3

Reorder the terms:
-5 + 3bcdeu + bcdeux = x(7 + x)(2 + x) + -3

Multiply (7 + x) * (2 + x)
-5 + 3bcdeu + bcdeux = x(7(2 + x) + x(2 + x)) + -3
-5 + 3bcdeu + bcdeux = x((2 * 7 + x * 7) + x(2 + x)) + -3
-5 + 3bcdeu + bcdeux = x((14 + 7x) + x(2 + x)) + -3
-5 + 3bcdeu + bcdeux = x(14 + 7x + (2 * x + x * x)) + -3
-5 + 3bcdeu + bcdeux = x(14 + 7x + (2x + x2)) + -3

Combine like terms: 7x + 2x = 9x
-5 + 3bcdeu + bcdeux = x(14 + 9x + x2) + -3
-5 + 3bcdeu + bcdeux = (14 * x + 9x * x + x2 * x) + -3
-5 + 3bcdeu + bcdeux = (14x + 9x2 + x3) + -3

Reorder the terms:
-5 + 3bcdeu + bcdeux = -3 + 14x + 9x2 + x3

Solving
-5 + 3bcdeu + bcdeux = -3 + 14x + 9x2 + x3

Solving for variable 'b'.

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

Add '5' to each side of the equation.
-5 + 3bcdeu + 5 + bcdeux = -3 + 14x + 9x2 + 5 + x3

Reorder the terms:
-5 + 5 + 3bcdeu + bcdeux = -3 + 14x + 9x2 + 5 + x3

Combine like terms: -5 + 5 = 0
0 + 3bcdeu + bcdeux = -3 + 14x + 9x2 + 5 + x3
3bcdeu + bcdeux = -3 + 14x + 9x2 + 5 + x3

Reorder the terms:
3bcdeu + bcdeux = -3 + 5 + 14x + 9x2 + x3

Combine like terms: -3 + 5 = 2
3bcdeu + bcdeux = 2 + 14x + 9x2 + x3

Reorder the terms:
-2 + 3bcdeu + bcdeux + -14x + -9x2 + -1x3 = 2 + 14x + 9x2 + x3 + -2 + -14x + -9x2 + -1x3

Reorder the terms:
-2 + 3bcdeu + bcdeux + -14x + -9x2 + -1x3 = 2 + -2 + 14x + -14x + 9x2 + -9x2 + x3 + -1x3

Combine like terms: 2 + -2 = 0
-2 + 3bcdeu + bcdeux + -14x + -9x2 + -1x3 = 0 + 14x + -14x + 9x2 + -9x2 + x3 + -1x3
-2 + 3bcdeu + bcdeux + -14x + -9x2 + -1x3 = 14x + -14x + 9x2 + -9x2 + x3 + -1x3

Combine like terms: 14x + -14x = 0
-2 + 3bcdeu + bcdeux + -14x + -9x2 + -1x3 = 0 + 9x2 + -9x2 + x3 + -1x3
-2 + 3bcdeu + bcdeux + -14x + -9x2 + -1x3 = 9x2 + -9x2 + x3 + -1x3

Combine like terms: 9x2 + -9x2 = 0
-2 + 3bcdeu + bcdeux + -14x + -9x2 + -1x3 = 0 + x3 + -1x3
-2 + 3bcdeu + bcdeux + -14x + -9x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-2 + 3bcdeu + bcdeux + -14x + -9x2 + -1x3 = 0

The solution to this equation could not be determined.

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