X^3-3x-45=(x-3)(2x^2+6x+15)

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Solution for X^3-3x-45=(x-3)(2x^2+6x+15) equation:


Simplifying
X3 + -3x + -45 = (x + -3)(2x2 + 6x + 15)

Reorder the terms:
-45 + X3 + -3x = (x + -3)(2x2 + 6x + 15)

Reorder the terms:
-45 + X3 + -3x = (-3 + x)(2x2 + 6x + 15)

Reorder the terms:
-45 + X3 + -3x = (-3 + x)(15 + 6x + 2x2)

Multiply (-3 + x) * (15 + 6x + 2x2)
-45 + X3 + -3x = (-3(15 + 6x + 2x2) + x(15 + 6x + 2x2))
-45 + X3 + -3x = ((15 * -3 + 6x * -3 + 2x2 * -3) + x(15 + 6x + 2x2))
-45 + X3 + -3x = ((-45 + -18x + -6x2) + x(15 + 6x + 2x2))
-45 + X3 + -3x = (-45 + -18x + -6x2 + (15 * x + 6x * x + 2x2 * x))
-45 + X3 + -3x = (-45 + -18x + -6x2 + (15x + 6x2 + 2x3))

Reorder the terms:
-45 + X3 + -3x = (-45 + -18x + 15x + -6x2 + 6x2 + 2x3)

Combine like terms: -18x + 15x = -3x
-45 + X3 + -3x = (-45 + -3x + -6x2 + 6x2 + 2x3)

Combine like terms: -6x2 + 6x2 = 0
-45 + X3 + -3x = (-45 + -3x + 0 + 2x3)
-45 + X3 + -3x = (-45 + -3x + 2x3)

Add '45' to each side of the equation.
-45 + X3 + 45 + -3x = -45 + -3x + 45 + 2x3

Reorder the terms:
-45 + 45 + X3 + -3x = -45 + -3x + 45 + 2x3

Combine like terms: -45 + 45 = 0
0 + X3 + -3x = -45 + -3x + 45 + 2x3
X3 + -3x = -45 + -3x + 45 + 2x3

Reorder the terms:
X3 + -3x = -45 + 45 + -3x + 2x3

Combine like terms: -45 + 45 = 0
X3 + -3x = 0 + -3x + 2x3
X3 + -3x = -3x + 2x3

Add '3x' to each side of the equation.
X3 + -3x + 3x = -3x + 3x + 2x3

Combine like terms: -3x + 3x = 0
X3 + 0 = -3x + 3x + 2x3
X3 = -3x + 3x + 2x3

Combine like terms: -3x + 3x = 0
X3 = 0 + 2x3
X3 = 2x3

Solving
X3 = 2x3

Solving for variable 'X'.

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

Simplifying
X3 = 2x3

Combine like terms: 2x3 + -2x3 = 0
X3 + -2x3 = 0

The solution to this equation could not be determined.

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