(X-8)(x^2-5x+4)=0

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Solution for (X-8)(x^2-5x+4)=0 equation: 


Simplifying
(X + -8)(x2 + -5x + 4) = 0

Reorder the terms:
(-8 + X)(x2 + -5x + 4) = 0

Reorder the terms:
(-8 + X)(4 + -5x + x2) = 0

Multiply (-8 + X) * (4 + -5x + x2)
(-8(4 + -5x + x2) + X(4 + -5x + x2)) = 0
((4 * -8 + -5x * -8 + x2 * -8) + X(4 + -5x + x2)) = 0
((-32 + 40x + -8x2) + X(4 + -5x + x2)) = 0
(-32 + 40x + -8x2 + (4 * X + -5x * X + x2 * X)) = 0
(-32 + 40x + -8x2 + (4X + -5xX + x2X)) = 0

Reorder the terms:
(-32 + 4X + 40x + -5xX + -8x2 + x2X) = 0
(-32 + 4X + 40x + -5xX + -8x2 + x2X) = 0

Solving
-32 + 4X + 40x + -5xX + -8x2 + x2X = 0

Solving for variable 'X'.

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

Add '32' to each side of the equation.
-32 + 4X + 40x + -5xX + -8x2 + 32 + x2X = 0 + 32

Reorder the terms:
-32 + 32 + 4X + 40x + -5xX + -8x2 + x2X = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 4X + 40x + -5xX + -8x2 + x2X = 0 + 32
4X + 40x + -5xX + -8x2 + x2X = 0 + 32

Combine like terms: 0 + 32 = 32
4X + 40x + -5xX + -8x2 + x2X = 32

Add '-40x' to each side of the equation.
4X + 40x + -5xX + -8x2 + -40x + x2X = 32 + -40x

Reorder the terms:
4X + 40x + -40x + -5xX + -8x2 + x2X = 32 + -40x

Combine like terms: 40x + -40x = 0
4X + 0 + -5xX + -8x2 + x2X = 32 + -40x
4X + -5xX + -8x2 + x2X = 32 + -40x

Add '8x2' to each side of the equation.
4X + -5xX + -8x2 + 8x2 + x2X = 32 + -40x + 8x2

Combine like terms: -8x2 + 8x2 = 0
4X + -5xX + 0 + x2X = 32 + -40x + 8x2
4X + -5xX + x2X = 32 + -40x + 8x2

Reorder the terms:
-32 + 4X + 40x + -5xX + -8x2 + x2X = 32 + -40x + 8x2 + -32 + 40x + -8x2

Reorder the terms:
-32 + 4X + 40x + -5xX + -8x2 + x2X = 32 + -32 + -40x + 40x + 8x2 + -8x2

Combine like terms: 32 + -32 = 0
-32 + 4X + 40x + -5xX + -8x2 + x2X = 0 + -40x + 40x + 8x2 + -8x2
-32 + 4X + 40x + -5xX + -8x2 + x2X = -40x + 40x + 8x2 + -8x2

Combine like terms: -40x + 40x = 0
-32 + 4X + 40x + -5xX + -8x2 + x2X = 0 + 8x2 + -8x2
-32 + 4X + 40x + -5xX + -8x2 + x2X = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-32 + 4X + 40x + -5xX + -8x2 + x2X = 0

The solution to this equation could not be determined.

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