(x+5)3-5=x(x+8)(x+7)-7

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Solution for (x+5)3-5=x(x+8)(x+7)-7 equation: 


Simplifying
(x + 5) * 3 + -5 = x(x + 8)(x + 7) + -7

Reorder the terms:
(5 + x) * 3 + -5 = x(x + 8)(x + 7) + -7

Reorder the terms for easier multiplication:
3(5 + x) + -5 = x(x + 8)(x + 7) + -7
(5 * 3 + x * 3) + -5 = x(x + 8)(x + 7) + -7
(15 + 3x) + -5 = x(x + 8)(x + 7) + -7

Reorder the terms:
15 + -5 + 3x = x(x + 8)(x + 7) + -7

Combine like terms: 15 + -5 = 10
10 + 3x = x(x + 8)(x + 7) + -7

Reorder the terms:
10 + 3x = x(8 + x)(x + 7) + -7

Reorder the terms:
10 + 3x = x(8 + x)(7 + x) + -7

Multiply (8 + x) * (7 + x)
10 + 3x = x(8(7 + x) + x(7 + x)) + -7
10 + 3x = x((7 * 8 + x * 8) + x(7 + x)) + -7
10 + 3x = x((56 + 8x) + x(7 + x)) + -7
10 + 3x = x(56 + 8x + (7 * x + x * x)) + -7
10 + 3x = x(56 + 8x + (7x + x2)) + -7

Combine like terms: 8x + 7x = 15x
10 + 3x = x(56 + 15x + x2) + -7
10 + 3x = (56 * x + 15x * x + x2 * x) + -7
10 + 3x = (56x + 15x2 + x3) + -7

Reorder the terms:
10 + 3x = -7 + 56x + 15x2 + x3

Solving
10 + 3x = -7 + 56x + 15x2 + x3

Solving for variable 'x'.

Reorder the terms:
10 + 7 + 3x + -56x + -15x2 + -1x3 = -7 + 56x + 15x2 + x3 + 7 + -56x + -15x2 + -1x3

Combine like terms: 10 + 7 = 17
17 + 3x + -56x + -15x2 + -1x3 = -7 + 56x + 15x2 + x3 + 7 + -56x + -15x2 + -1x3

Combine like terms: 3x + -56x = -53x
17 + -53x + -15x2 + -1x3 = -7 + 56x + 15x2 + x3 + 7 + -56x + -15x2 + -1x3

Reorder the terms:
17 + -53x + -15x2 + -1x3 = -7 + 7 + 56x + -56x + 15x2 + -15x2 + x3 + -1x3

Combine like terms: -7 + 7 = 0
17 + -53x + -15x2 + -1x3 = 0 + 56x + -56x + 15x2 + -15x2 + x3 + -1x3
17 + -53x + -15x2 + -1x3 = 56x + -56x + 15x2 + -15x2 + x3 + -1x3

Combine like terms: 56x + -56x = 0
17 + -53x + -15x2 + -1x3 = 0 + 15x2 + -15x2 + x3 + -1x3
17 + -53x + -15x2 + -1x3 = 15x2 + -15x2 + x3 + -1x3

Combine like terms: 15x2 + -15x2 = 0
17 + -53x + -15x2 + -1x3 = 0 + x3 + -1x3
17 + -53x + -15x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
17 + -53x + -15x2 + -1x3 = 0

The solution to this equation could not be determined.

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