(x-3)(x-3)(x-3)-25=0

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Solution for (x-3)(x-3)(x-3)-25=0 equation: 


Simplifying
(x + -3)(x + -3)(x + -3) + -25 = 0

Reorder the terms:
(-3 + x)(x + -3)(x + -3) + -25 = 0

Reorder the terms:
(-3 + x)(-3 + x)(x + -3) + -25 = 0

Reorder the terms:
(-3 + x)(-3 + x)(-3 + x) + -25 = 0

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x))(-3 + x) + -25 = 0
((-3 * -3 + x * -3) + x(-3 + x))(-3 + x) + -25 = 0
((9 + -3x) + x(-3 + x))(-3 + x) + -25 = 0
(9 + -3x + (-3 * x + x * x))(-3 + x) + -25 = 0
(9 + -3x + (-3x + x2))(-3 + x) + -25 = 0

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2)(-3 + x) + -25 = 0

Multiply (9 + -6x + x2) * (-3 + x)
(9(-3 + x) + -6x * (-3 + x) + x2(-3 + x)) + -25 = 0
((-3 * 9 + x * 9) + -6x * (-3 + x) + x2(-3 + x)) + -25 = 0
((-27 + 9x) + -6x * (-3 + x) + x2(-3 + x)) + -25 = 0
(-27 + 9x + (-3 * -6x + x * -6x) + x2(-3 + x)) + -25 = 0
(-27 + 9x + (18x + -6x2) + x2(-3 + x)) + -25 = 0
(-27 + 9x + 18x + -6x2 + (-3 * x2 + x * x2)) + -25 = 0
(-27 + 9x + 18x + -6x2 + (-3x2 + x3)) + -25 = 0

Combine like terms: 9x + 18x = 27x
(-27 + 27x + -6x2 + -3x2 + x3) + -25 = 0

Combine like terms: -6x2 + -3x2 = -9x2
(-27 + 27x + -9x2 + x3) + -25 = 0

Reorder the terms:
-27 + -25 + 27x + -9x2 + x3 = 0

Combine like terms: -27 + -25 = -52
-52 + 27x + -9x2 + x3 = 0

Solving
-52 + 27x + -9x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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