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)

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

Multiply (5 + x) * (25 + -5x + x2)
125 + x3 = (5(25 + -5x + x2) + x(25 + -5x + x2))
125 + x3 = ((25 * 5 + -5x * 5 + x2 * 5) + x(25 + -5x + x2))
125 + x3 = ((125 + -25x + 5x2) + x(25 + -5x + x2))
125 + x3 = (125 + -25x + 5x2 + (25 * x + -5x * x + x2 * x))
125 + x3 = (125 + -25x + 5x2 + (25x + -5x2 + x3))

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

Combine like terms: -25x + 25x = 0
125 + x3 = (125 + 0 + 5x2 + -5x2 + x3)
125 + x3 = (125 + 5x2 + -5x2 + x3)

Combine like terms: 5x2 + -5x2 = 0
125 + x3 = (125 + 0 + x3)
125 + x3 = (125 + x3)

Add '-125' to each side of the equation.
125 + -125 + x3 = 125 + -125 + x3

Combine like terms: 125 + -125 = 0
0 + x3 = 125 + -125 + x3
x3 = 125 + -125 + x3

Combine like terms: 125 + -125 = 0
x3 = 0 + x3
x3 = x3

Add '-1x3' to each side of the equation.
x3 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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