(X^3+3x^2+5)*(3x-2)=

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Solution for (X^3+3x^2+5)*(3x-2)= equation: 


Simplifying
(X3 + 3x2 + 5)(3x + -2) = 0

Reorder the terms:
(5 + X3 + 3x2)(3x + -2) = 0

Reorder the terms:
(5 + X3 + 3x2)(-2 + 3x) = 0

Multiply (5 + X3 + 3x2) * (-2 + 3x)
(5(-2 + 3x) + X3(-2 + 3x) + 3x2 * (-2 + 3x)) = 0
((-2 * 5 + 3x * 5) + X3(-2 + 3x) + 3x2 * (-2 + 3x)) = 0
((-10 + 15x) + X3(-2 + 3x) + 3x2 * (-2 + 3x)) = 0
(-10 + 15x + (-2 * X3 + 3x * X3) + 3x2 * (-2 + 3x)) = 0
(-10 + 15x + (-2X3 + 3xX3) + 3x2 * (-2 + 3x)) = 0
(-10 + 15x + -2X3 + 3xX3 + (-2 * 3x2 + 3x * 3x2)) = 0
(-10 + 15x + -2X3 + 3xX3 + (-6x2 + 9x3)) = 0

Reorder the terms:
(-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3) = 0
(-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3) = 0

Solving
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 0

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + -2X3 + 15x + 3xX3 + -6x2 + 10 + 9x3 = 0 + 10

Reorder the terms:
-10 + 10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 0 + 10
-2X3 + 15x + 3xX3 + -6x2 + 9x3 = 0 + 10

Combine like terms: 0 + 10 = 10
-2X3 + 15x + 3xX3 + -6x2 + 9x3 = 10

Add '-15x' to each side of the equation.
-2X3 + 15x + 3xX3 + -6x2 + -15x + 9x3 = 10 + -15x

Reorder the terms:
-2X3 + 15x + -15x + 3xX3 + -6x2 + 9x3 = 10 + -15x

Combine like terms: 15x + -15x = 0
-2X3 + 0 + 3xX3 + -6x2 + 9x3 = 10 + -15x
-2X3 + 3xX3 + -6x2 + 9x3 = 10 + -15x

Add '6x2' to each side of the equation.
-2X3 + 3xX3 + -6x2 + 6x2 + 9x3 = 10 + -15x + 6x2

Combine like terms: -6x2 + 6x2 = 0
-2X3 + 3xX3 + 0 + 9x3 = 10 + -15x + 6x2
-2X3 + 3xX3 + 9x3 = 10 + -15x + 6x2

Add '-9x3' to each side of the equation.
-2X3 + 3xX3 + 9x3 + -9x3 = 10 + -15x + 6x2 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-2X3 + 3xX3 + 0 = 10 + -15x + 6x2 + -9x3
-2X3 + 3xX3 = 10 + -15x + 6x2 + -9x3

Reorder the terms:
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 10 + -15x + 6x2 + -9x3 + -10 + 15x + -6x2 + 9x3

Reorder the terms:
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 10 + -10 + -15x + 15x + 6x2 + -6x2 + -9x3 + 9x3

Combine like terms: 10 + -10 = 0
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 0 + -15x + 15x + 6x2 + -6x2 + -9x3 + 9x3
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = -15x + 15x + 6x2 + -6x2 + -9x3 + 9x3

Combine like terms: -15x + 15x = 0
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 0 + 6x2 + -6x2 + -9x3 + 9x3
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 6x2 + -6x2 + -9x3 + 9x3

Combine like terms: 6x2 + -6x2 = 0
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 0 + -9x3 + 9x3
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = -9x3 + 9x3

Combine like terms: -9x3 + 9x3 = 0
-10 + -2X3 + 15x + 3xX3 + -6x2 + 9x3 = 0

The solution to this equation could not be determined.

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