(X-4)(x^2-5x+6)=0

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Solution for (X-4)(x^2-5x+6)=0 equation: 


Simplifying
(X + -4)(x2 + -5x + 6) = 0

Reorder the terms:
(-4 + X)(x2 + -5x + 6) = 0

Reorder the terms:
(-4 + X)(6 + -5x + x2) = 0

Multiply (-4 + X) * (6 + -5x + x2)
(-4(6 + -5x + x2) + X(6 + -5x + x2)) = 0
((6 * -4 + -5x * -4 + x2 * -4) + X(6 + -5x + x2)) = 0
((-24 + 20x + -4x2) + X(6 + -5x + x2)) = 0
(-24 + 20x + -4x2 + (6 * X + -5x * X + x2 * X)) = 0
(-24 + 20x + -4x2 + (6X + -5xX + x2X)) = 0

Reorder the terms:
(-24 + 6X + 20x + -5xX + -4x2 + x2X) = 0
(-24 + 6X + 20x + -5xX + -4x2 + x2X) = 0

Solving
-24 + 6X + 20x + -5xX + -4x2 + x2X = 0

Solving for variable 'X'.

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

Add '24' to each side of the equation.
-24 + 6X + 20x + -5xX + -4x2 + 24 + x2X = 0 + 24

Reorder the terms:
-24 + 24 + 6X + 20x + -5xX + -4x2 + x2X = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 6X + 20x + -5xX + -4x2 + x2X = 0 + 24
6X + 20x + -5xX + -4x2 + x2X = 0 + 24

Combine like terms: 0 + 24 = 24
6X + 20x + -5xX + -4x2 + x2X = 24

Add '-20x' to each side of the equation.
6X + 20x + -5xX + -4x2 + -20x + x2X = 24 + -20x

Reorder the terms:
6X + 20x + -20x + -5xX + -4x2 + x2X = 24 + -20x

Combine like terms: 20x + -20x = 0
6X + 0 + -5xX + -4x2 + x2X = 24 + -20x
6X + -5xX + -4x2 + x2X = 24 + -20x

Add '4x2' to each side of the equation.
6X + -5xX + -4x2 + 4x2 + x2X = 24 + -20x + 4x2

Combine like terms: -4x2 + 4x2 = 0
6X + -5xX + 0 + x2X = 24 + -20x + 4x2
6X + -5xX + x2X = 24 + -20x + 4x2

Reorder the terms:
-24 + 6X + 20x + -5xX + -4x2 + x2X = 24 + -20x + 4x2 + -24 + 20x + -4x2

Reorder the terms:
-24 + 6X + 20x + -5xX + -4x2 + x2X = 24 + -24 + -20x + 20x + 4x2 + -4x2

Combine like terms: 24 + -24 = 0
-24 + 6X + 20x + -5xX + -4x2 + x2X = 0 + -20x + 20x + 4x2 + -4x2
-24 + 6X + 20x + -5xX + -4x2 + x2X = -20x + 20x + 4x2 + -4x2

Combine like terms: -20x + 20x = 0
-24 + 6X + 20x + -5xX + -4x2 + x2X = 0 + 4x2 + -4x2
-24 + 6X + 20x + -5xX + -4x2 + x2X = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-24 + 6X + 20x + -5xX + -4x2 + x2X = 0

The solution to this equation could not be determined.

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