x^3+125-5=(x+2)*(x+13)-3

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Solution for x^3+125-5=(x+2)*(x+13)-3 equation:


Simplifying
x3 + 125 + -5 = (x + 2)(x + 13) + -3

Reorder the terms:
125 + -5 + x3 = (x + 2)(x + 13) + -3

Combine like terms: 125 + -5 = 120
120 + x3 = (x + 2)(x + 13) + -3

Reorder the terms:
120 + x3 = (2 + x)(x + 13) + -3

Reorder the terms:
120 + x3 = (2 + x)(13 + x) + -3

Multiply (2 + x) * (13 + x)
120 + x3 = (2(13 + x) + x(13 + x)) + -3
120 + x3 = ((13 * 2 + x * 2) + x(13 + x)) + -3
120 + x3 = ((26 + 2x) + x(13 + x)) + -3
120 + x3 = (26 + 2x + (13 * x + x * x)) + -3
120 + x3 = (26 + 2x + (13x + x2)) + -3

Combine like terms: 2x + 13x = 15x
120 + x3 = (26 + 15x + x2) + -3

Reorder the terms:
120 + x3 = 26 + -3 + 15x + x2

Combine like terms: 26 + -3 = 23
120 + x3 = 23 + 15x + x2

Solving
120 + x3 = 23 + 15x + x2

Solving for variable 'x'.

Reorder the terms:
120 + -23 + -15x + -1x2 + x3 = 23 + 15x + x2 + -23 + -15x + -1x2

Combine like terms: 120 + -23 = 97
97 + -15x + -1x2 + x3 = 23 + 15x + x2 + -23 + -15x + -1x2

Reorder the terms:
97 + -15x + -1x2 + x3 = 23 + -23 + 15x + -15x + x2 + -1x2

Combine like terms: 23 + -23 = 0
97 + -15x + -1x2 + x3 = 0 + 15x + -15x + x2 + -1x2
97 + -15x + -1x2 + x3 = 15x + -15x + x2 + -1x2

Combine like terms: 15x + -15x = 0
97 + -15x + -1x2 + x3 = 0 + x2 + -1x2
97 + -15x + -1x2 + x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
97 + -15x + -1x2 + x3 = 0

The solution to this equation could not be determined.

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