(X+2)(3x^2-4x+5)=0

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Solution for (X+2)(3x^2-4x+5)=0 equation: 


Simplifying
(X + 2)(3x2 + -4x + 5) = 0

Reorder the terms:
(2 + X)(3x2 + -4x + 5) = 0

Reorder the terms:
(2 + X)(5 + -4x + 3x2) = 0

Multiply (2 + X) * (5 + -4x + 3x2)
(2(5 + -4x + 3x2) + X(5 + -4x + 3x2)) = 0
((5 * 2 + -4x * 2 + 3x2 * 2) + X(5 + -4x + 3x2)) = 0
((10 + -8x + 6x2) + X(5 + -4x + 3x2)) = 0
(10 + -8x + 6x2 + (5 * X + -4x * X + 3x2 * X)) = 0
(10 + -8x + 6x2 + (5X + -4xX + 3x2X)) = 0

Reorder the terms:
(10 + 5X + -8x + -4xX + 6x2 + 3x2X) = 0
(10 + 5X + -8x + -4xX + 6x2 + 3x2X) = 0

Solving
10 + 5X + -8x + -4xX + 6x2 + 3x2X = 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 + 5X + -8x + -4xX + 6x2 + -10 + 3x2X = 0 + -10

Reorder the terms:
10 + -10 + 5X + -8x + -4xX + 6x2 + 3x2X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5X + -8x + -4xX + 6x2 + 3x2X = 0 + -10
5X + -8x + -4xX + 6x2 + 3x2X = 0 + -10

Combine like terms: 0 + -10 = -10
5X + -8x + -4xX + 6x2 + 3x2X = -10

Add '8x' to each side of the equation.
5X + -8x + -4xX + 6x2 + 8x + 3x2X = -10 + 8x

Reorder the terms:
5X + -8x + 8x + -4xX + 6x2 + 3x2X = -10 + 8x

Combine like terms: -8x + 8x = 0
5X + 0 + -4xX + 6x2 + 3x2X = -10 + 8x
5X + -4xX + 6x2 + 3x2X = -10 + 8x

Add '-6x2' to each side of the equation.
5X + -4xX + 6x2 + -6x2 + 3x2X = -10 + 8x + -6x2

Combine like terms: 6x2 + -6x2 = 0
5X + -4xX + 0 + 3x2X = -10 + 8x + -6x2
5X + -4xX + 3x2X = -10 + 8x + -6x2

Reorder the terms:
10 + 5X + -8x + -4xX + 6x2 + 3x2X = -10 + 8x + -6x2 + 10 + -8x + 6x2

Reorder the terms:
10 + 5X + -8x + -4xX + 6x2 + 3x2X = -10 + 10 + 8x + -8x + -6x2 + 6x2

Combine like terms: -10 + 10 = 0
10 + 5X + -8x + -4xX + 6x2 + 3x2X = 0 + 8x + -8x + -6x2 + 6x2
10 + 5X + -8x + -4xX + 6x2 + 3x2X = 8x + -8x + -6x2 + 6x2

Combine like terms: 8x + -8x = 0
10 + 5X + -8x + -4xX + 6x2 + 3x2X = 0 + -6x2 + 6x2
10 + 5X + -8x + -4xX + 6x2 + 3x2X = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
10 + 5X + -8x + -4xX + 6x2 + 3x2X = 0

The solution to this equation could not be determined.

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