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

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


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

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

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

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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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