(X-3)(x-3)(x-3)+64=0

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Solution for (X-3)(x-3)(x-3)+64=0 equation: 


Simplifying
(X + -3)(x + -3)(x + -3) + 64 = 0

Reorder the terms:
(-3 + X)(x + -3)(x + -3) + 64 = 0

Reorder the terms:
(-3 + X)(-3 + x)(x + -3) + 64 = 0

Reorder the terms:
(-3 + X)(-3 + x)(-3 + x) + 64 = 0

Multiply (-3 + X) * (-3 + x)
(-3(-3 + x) + X(-3 + x))(-3 + x) + 64 = 0
((-3 * -3 + x * -3) + X(-3 + x))(-3 + x) + 64 = 0
((9 + -3x) + X(-3 + x))(-3 + x) + 64 = 0
(9 + -3x + (-3 * X + x * X))(-3 + x) + 64 = 0
(9 + -3x + (-3X + xX))(-3 + x) + 64 = 0

Reorder the terms:
(9 + -3X + -3x + xX)(-3 + x) + 64 = 0
(9 + -3X + -3x + xX)(-3 + x) + 64 = 0

Multiply (9 + -3X + -3x + xX) * (-3 + x)
(9(-3 + x) + -3X * (-3 + x) + -3x * (-3 + x) + xX(-3 + x)) + 64 = 0
((-3 * 9 + x * 9) + -3X * (-3 + x) + -3x * (-3 + x) + xX(-3 + x)) + 64 = 0
((-27 + 9x) + -3X * (-3 + x) + -3x * (-3 + x) + xX(-3 + x)) + 64 = 0
(-27 + 9x + (-3 * -3X + x * -3X) + -3x * (-3 + x) + xX(-3 + x)) + 64 = 0
(-27 + 9x + (9X + -3xX) + -3x * (-3 + x) + xX(-3 + x)) + 64 = 0
(-27 + 9x + 9X + -3xX + (-3 * -3x + x * -3x) + xX(-3 + x)) + 64 = 0
(-27 + 9x + 9X + -3xX + (9x + -3x2) + xX(-3 + x)) + 64 = 0
(-27 + 9x + 9X + -3xX + 9x + -3x2 + (-3 * xX + x * xX)) + 64 = 0
(-27 + 9x + 9X + -3xX + 9x + -3x2 + (-3xX + x2X)) + 64 = 0

Reorder the terms:
(-27 + 9X + 9x + 9x + -3xX + -3xX + -3x2 + x2X) + 64 = 0

Combine like terms: 9x + 9x = 18x
(-27 + 9X + 18x + -3xX + -3xX + -3x2 + x2X) + 64 = 0

Combine like terms: -3xX + -3xX = -6xX
(-27 + 9X + 18x + -6xX + -3x2 + x2X) + 64 = 0

Reorder the terms:
-27 + 64 + 9X + 18x + -6xX + -3x2 + x2X = 0

Combine like terms: -27 + 64 = 37
37 + 9X + 18x + -6xX + -3x2 + x2X = 0

Solving
37 + 9X + 18x + -6xX + -3x2 + x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-37' to each side of the equation.
37 + 9X + 18x + -6xX + -3x2 + -37 + x2X = 0 + -37

Reorder the terms:
37 + -37 + 9X + 18x + -6xX + -3x2 + x2X = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 9X + 18x + -6xX + -3x2 + x2X = 0 + -37
9X + 18x + -6xX + -3x2 + x2X = 0 + -37

Combine like terms: 0 + -37 = -37
9X + 18x + -6xX + -3x2 + x2X = -37

Add '-18x' to each side of the equation.
9X + 18x + -6xX + -3x2 + -18x + x2X = -37 + -18x

Reorder the terms:
9X + 18x + -18x + -6xX + -3x2 + x2X = -37 + -18x

Combine like terms: 18x + -18x = 0
9X + 0 + -6xX + -3x2 + x2X = -37 + -18x
9X + -6xX + -3x2 + x2X = -37 + -18x

Add '3x2' to each side of the equation.
9X + -6xX + -3x2 + 3x2 + x2X = -37 + -18x + 3x2

Combine like terms: -3x2 + 3x2 = 0
9X + -6xX + 0 + x2X = -37 + -18x + 3x2
9X + -6xX + x2X = -37 + -18x + 3x2

Reorder the terms:
37 + 9X + 18x + -6xX + -3x2 + x2X = -37 + -18x + 3x2 + 37 + 18x + -3x2

Reorder the terms:
37 + 9X + 18x + -6xX + -3x2 + x2X = -37 + 37 + -18x + 18x + 3x2 + -3x2

Combine like terms: -37 + 37 = 0
37 + 9X + 18x + -6xX + -3x2 + x2X = 0 + -18x + 18x + 3x2 + -3x2
37 + 9X + 18x + -6xX + -3x2 + x2X = -18x + 18x + 3x2 + -3x2

Combine like terms: -18x + 18x = 0
37 + 9X + 18x + -6xX + -3x2 + x2X = 0 + 3x2 + -3x2
37 + 9X + 18x + -6xX + -3x2 + x2X = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
37 + 9X + 18x + -6xX + -3x2 + x2X = 0

The solution to this equation could not be determined.

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