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

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


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

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

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

Multiply (3 + X) * (5 + -4x + x2)
(3(5 + -4x + x2) + X(5 + -4x + x2)) = 0
((5 * 3 + -4x * 3 + x2 * 3) + X(5 + -4x + x2)) = 0
((15 + -12x + 3x2) + X(5 + -4x + x2)) = 0
(15 + -12x + 3x2 + (5 * X + -4x * X + x2 * X)) = 0
(15 + -12x + 3x2 + (5X + -4xX + x2X)) = 0

Reorder the terms:
(15 + 5X + -12x + -4xX + 3x2 + x2X) = 0
(15 + 5X + -12x + -4xX + 3x2 + x2X) = 0

Solving
15 + 5X + -12x + -4xX + 3x2 + x2X = 0

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + 5X + -12x + -4xX + 3x2 + -15 + x2X = 0 + -15

Reorder the terms:
15 + -15 + 5X + -12x + -4xX + 3x2 + x2X = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5X + -12x + -4xX + 3x2 + x2X = 0 + -15
5X + -12x + -4xX + 3x2 + x2X = 0 + -15

Combine like terms: 0 + -15 = -15
5X + -12x + -4xX + 3x2 + x2X = -15

Add '12x' to each side of the equation.
5X + -12x + -4xX + 3x2 + 12x + x2X = -15 + 12x

Reorder the terms:
5X + -12x + 12x + -4xX + 3x2 + x2X = -15 + 12x

Combine like terms: -12x + 12x = 0
5X + 0 + -4xX + 3x2 + x2X = -15 + 12x
5X + -4xX + 3x2 + x2X = -15 + 12x

Add '-3x2' to each side of the equation.
5X + -4xX + 3x2 + -3x2 + x2X = -15 + 12x + -3x2

Combine like terms: 3x2 + -3x2 = 0
5X + -4xX + 0 + x2X = -15 + 12x + -3x2
5X + -4xX + x2X = -15 + 12x + -3x2

Reorder the terms:
15 + 5X + -12x + -4xX + 3x2 + x2X = -15 + 12x + -3x2 + 15 + -12x + 3x2

Reorder the terms:
15 + 5X + -12x + -4xX + 3x2 + x2X = -15 + 15 + 12x + -12x + -3x2 + 3x2

Combine like terms: -15 + 15 = 0
15 + 5X + -12x + -4xX + 3x2 + x2X = 0 + 12x + -12x + -3x2 + 3x2
15 + 5X + -12x + -4xX + 3x2 + x2X = 12x + -12x + -3x2 + 3x2

Combine like terms: 12x + -12x = 0
15 + 5X + -12x + -4xX + 3x2 + x2X = 0 + -3x2 + 3x2
15 + 5X + -12x + -4xX + 3x2 + x2X = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
15 + 5X + -12x + -4xX + 3x2 + x2X = 0

The solution to this equation could not be determined.

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