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

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


Simplifying
(X2 + -5x + 4)(x + 2) = 0

Reorder the terms:
(4 + X2 + -5x)(x + 2) = 0

Reorder the terms:
(4 + X2 + -5x)(2 + x) = 0

Multiply (4 + X2 + -5x) * (2 + x)
(4(2 + x) + X2(2 + x) + -5x * (2 + x)) = 0
((2 * 4 + x * 4) + X2(2 + x) + -5x * (2 + x)) = 0
((8 + 4x) + X2(2 + x) + -5x * (2 + x)) = 0
(8 + 4x + (2 * X2 + x * X2) + -5x * (2 + x)) = 0
(8 + 4x + (2X2 + xX2) + -5x * (2 + x)) = 0
(8 + 4x + 2X2 + xX2 + (2 * -5x + x * -5x)) = 0
(8 + 4x + 2X2 + xX2 + (-10x + -5x2)) = 0

Reorder the terms:
(8 + 2X2 + 4x + -10x + xX2 + -5x2) = 0

Combine like terms: 4x + -10x = -6x
(8 + 2X2 + -6x + xX2 + -5x2) = 0

Solving
8 + 2X2 + -6x + xX2 + -5x2 = 0

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + 2X2 + -6x + xX2 + -8 + -5x2 = 0 + -8

Reorder the terms:
8 + -8 + 2X2 + -6x + xX2 + -5x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2X2 + -6x + xX2 + -5x2 = 0 + -8
2X2 + -6x + xX2 + -5x2 = 0 + -8

Combine like terms: 0 + -8 = -8
2X2 + -6x + xX2 + -5x2 = -8

Add '6x' to each side of the equation.
2X2 + -6x + xX2 + 6x + -5x2 = -8 + 6x

Reorder the terms:
2X2 + -6x + 6x + xX2 + -5x2 = -8 + 6x

Combine like terms: -6x + 6x = 0
2X2 + 0 + xX2 + -5x2 = -8 + 6x
2X2 + xX2 + -5x2 = -8 + 6x

Add '5x2' to each side of the equation.
2X2 + xX2 + -5x2 + 5x2 = -8 + 6x + 5x2

Combine like terms: -5x2 + 5x2 = 0
2X2 + xX2 + 0 = -8 + 6x + 5x2
2X2 + xX2 = -8 + 6x + 5x2

Reorder the terms:
8 + 2X2 + -6x + xX2 + -5x2 = -8 + 6x + 5x2 + 8 + -6x + -5x2

Reorder the terms:
8 + 2X2 + -6x + xX2 + -5x2 = -8 + 8 + 6x + -6x + 5x2 + -5x2

Combine like terms: -8 + 8 = 0
8 + 2X2 + -6x + xX2 + -5x2 = 0 + 6x + -6x + 5x2 + -5x2
8 + 2X2 + -6x + xX2 + -5x2 = 6x + -6x + 5x2 + -5x2

Combine like terms: 6x + -6x = 0
8 + 2X2 + -6x + xX2 + -5x2 = 0 + 5x2 + -5x2
8 + 2X2 + -6x + xX2 + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
8 + 2X2 + -6x + xX2 + -5x2 = 0

The solution to this equation could not be determined.

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