(X+2)(x-8)(2x-3)=0

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Solution for (X+2)(x-8)(2x-3)=0 equation: 


Simplifying
(X + 2)(x + -8)(2x + -3) = 0

Reorder the terms:
(2 + X)(x + -8)(2x + -3) = 0

Reorder the terms:
(2 + X)(-8 + x)(2x + -3) = 0

Reorder the terms:
(2 + X)(-8 + x)(-3 + 2x) = 0

Multiply (2 + X) * (-8 + x)
(2(-8 + x) + X(-8 + x))(-3 + 2x) = 0
((-8 * 2 + x * 2) + X(-8 + x))(-3 + 2x) = 0
((-16 + 2x) + X(-8 + x))(-3 + 2x) = 0
(-16 + 2x + (-8 * X + x * X))(-3 + 2x) = 0
(-16 + 2x + (-8X + xX))(-3 + 2x) = 0

Reorder the terms:
(-16 + -8X + 2x + xX)(-3 + 2x) = 0
(-16 + -8X + 2x + xX)(-3 + 2x) = 0

Multiply (-16 + -8X + 2x + xX) * (-3 + 2x)
(-16(-3 + 2x) + -8X * (-3 + 2x) + 2x * (-3 + 2x) + xX(-3 + 2x)) = 0
((-3 * -16 + 2x * -16) + -8X * (-3 + 2x) + 2x * (-3 + 2x) + xX(-3 + 2x)) = 0
((48 + -32x) + -8X * (-3 + 2x) + 2x * (-3 + 2x) + xX(-3 + 2x)) = 0
(48 + -32x + (-3 * -8X + 2x * -8X) + 2x * (-3 + 2x) + xX(-3 + 2x)) = 0
(48 + -32x + (24X + -16xX) + 2x * (-3 + 2x) + xX(-3 + 2x)) = 0
(48 + -32x + 24X + -16xX + (-3 * 2x + 2x * 2x) + xX(-3 + 2x)) = 0
(48 + -32x + 24X + -16xX + (-6x + 4x2) + xX(-3 + 2x)) = 0
(48 + -32x + 24X + -16xX + -6x + 4x2 + (-3 * xX + 2x * xX)) = 0
(48 + -32x + 24X + -16xX + -6x + 4x2 + (-3xX + 2x2X)) = 0

Reorder the terms:
(48 + 24X + -32x + -6x + -16xX + -3xX + 4x2 + 2x2X) = 0

Combine like terms: -32x + -6x = -38x
(48 + 24X + -38x + -16xX + -3xX + 4x2 + 2x2X) = 0

Combine like terms: -16xX + -3xX = -19xX
(48 + 24X + -38x + -19xX + 4x2 + 2x2X) = 0

Solving
48 + 24X + -38x + -19xX + 4x2 + 2x2X = 0

Solving for variable 'X'.

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

Add '-48' to each side of the equation.
48 + 24X + -38x + -19xX + 4x2 + -48 + 2x2X = 0 + -48

Reorder the terms:
48 + -48 + 24X + -38x + -19xX + 4x2 + 2x2X = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 24X + -38x + -19xX + 4x2 + 2x2X = 0 + -48
24X + -38x + -19xX + 4x2 + 2x2X = 0 + -48

Combine like terms: 0 + -48 = -48
24X + -38x + -19xX + 4x2 + 2x2X = -48

Add '38x' to each side of the equation.
24X + -38x + -19xX + 4x2 + 38x + 2x2X = -48 + 38x

Reorder the terms:
24X + -38x + 38x + -19xX + 4x2 + 2x2X = -48 + 38x

Combine like terms: -38x + 38x = 0
24X + 0 + -19xX + 4x2 + 2x2X = -48 + 38x
24X + -19xX + 4x2 + 2x2X = -48 + 38x

Add '-4x2' to each side of the equation.
24X + -19xX + 4x2 + -4x2 + 2x2X = -48 + 38x + -4x2

Combine like terms: 4x2 + -4x2 = 0
24X + -19xX + 0 + 2x2X = -48 + 38x + -4x2
24X + -19xX + 2x2X = -48 + 38x + -4x2

Reorder the terms:
48 + 24X + -38x + -19xX + 4x2 + 2x2X = -48 + 38x + -4x2 + 48 + -38x + 4x2

Reorder the terms:
48 + 24X + -38x + -19xX + 4x2 + 2x2X = -48 + 48 + 38x + -38x + -4x2 + 4x2

Combine like terms: -48 + 48 = 0
48 + 24X + -38x + -19xX + 4x2 + 2x2X = 0 + 38x + -38x + -4x2 + 4x2
48 + 24X + -38x + -19xX + 4x2 + 2x2X = 38x + -38x + -4x2 + 4x2

Combine like terms: 38x + -38x = 0
48 + 24X + -38x + -19xX + 4x2 + 2x2X = 0 + -4x2 + 4x2
48 + 24X + -38x + -19xX + 4x2 + 2x2X = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
48 + 24X + -38x + -19xX + 4x2 + 2x2X = 0

The solution to this equation could not be determined.

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