x^3+125=(x+5)+(x^2-5x+25)

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Solution for x^3+125=(x+5)+(x^2-5x+25) equation:


Simplifying
x3 + 125 = (x + 5) + (x2 + -5x + 25)

Reorder the terms:
125 + x3 = (x + 5) + (x2 + -5x + 25)

Reorder the terms:
125 + x3 = (5 + x) + (x2 + -5x + 25)

Remove parenthesis around (5 + x)
125 + x3 = 5 + x + (x2 + -5x + 25)

Reorder the terms:
125 + x3 = 5 + x + (25 + -5x + x2)

Remove parenthesis around (25 + -5x + x2)
125 + x3 = 5 + x + 25 + -5x + x2

Reorder the terms:
125 + x3 = 5 + 25 + x + -5x + x2

Combine like terms: 5 + 25 = 30
125 + x3 = 30 + x + -5x + x2

Combine like terms: x + -5x = -4x
125 + x3 = 30 + -4x + x2

Solving
125 + x3 = 30 + -4x + x2

Solving for variable 'x'.

Reorder the terms:
125 + -30 + 4x + -1x2 + x3 = 30 + -4x + x2 + -30 + 4x + -1x2

Combine like terms: 125 + -30 = 95
95 + 4x + -1x2 + x3 = 30 + -4x + x2 + -30 + 4x + -1x2

Reorder the terms:
95 + 4x + -1x2 + x3 = 30 + -30 + -4x + 4x + x2 + -1x2

Combine like terms: 30 + -30 = 0
95 + 4x + -1x2 + x3 = 0 + -4x + 4x + x2 + -1x2
95 + 4x + -1x2 + x3 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
95 + 4x + -1x2 + x3 = 0 + x2 + -1x2
95 + 4x + -1x2 + x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
95 + 4x + -1x2 + x3 = 0

The solution to this equation could not be determined.

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