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

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


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

Reorder the terms:
(-4 + X)(x + 4)(2x + -3) = 0

Reorder the terms:
(-4 + X)(4 + x)(2x + -3) = 0

Reorder the terms:
(-4 + X)(4 + x)(-3 + 2x) = 0

Multiply (-4 + X) * (4 + x)
(-4(4 + x) + X(4 + x))(-3 + 2x) = 0
((4 * -4 + x * -4) + X(4 + x))(-3 + 2x) = 0
((-16 + -4x) + X(4 + x))(-3 + 2x) = 0
(-16 + -4x + (4 * X + x * X))(-3 + 2x) = 0
(-16 + -4x + (4X + xX))(-3 + 2x) = 0

Reorder the terms:
(-16 + 4X + -4x + xX)(-3 + 2x) = 0
(-16 + 4X + -4x + xX)(-3 + 2x) = 0

Multiply (-16 + 4X + -4x + xX) * (-3 + 2x)
(-16(-3 + 2x) + 4X * (-3 + 2x) + -4x * (-3 + 2x) + xX(-3 + 2x)) = 0
((-3 * -16 + 2x * -16) + 4X * (-3 + 2x) + -4x * (-3 + 2x) + xX(-3 + 2x)) = 0
((48 + -32x) + 4X * (-3 + 2x) + -4x * (-3 + 2x) + xX(-3 + 2x)) = 0
(48 + -32x + (-3 * 4X + 2x * 4X) + -4x * (-3 + 2x) + xX(-3 + 2x)) = 0
(48 + -32x + (-12X + 8xX) + -4x * (-3 + 2x) + xX(-3 + 2x)) = 0
(48 + -32x + -12X + 8xX + (-3 * -4x + 2x * -4x) + xX(-3 + 2x)) = 0
(48 + -32x + -12X + 8xX + (12x + -8x2) + xX(-3 + 2x)) = 0
(48 + -32x + -12X + 8xX + 12x + -8x2 + (-3 * xX + 2x * xX)) = 0
(48 + -32x + -12X + 8xX + 12x + -8x2 + (-3xX + 2x2X)) = 0

Reorder the terms:
(48 + -12X + -32x + 12x + 8xX + -3xX + -8x2 + 2x2X) = 0

Combine like terms: -32x + 12x = -20x
(48 + -12X + -20x + 8xX + -3xX + -8x2 + 2x2X) = 0

Combine like terms: 8xX + -3xX = 5xX
(48 + -12X + -20x + 5xX + -8x2 + 2x2X) = 0

Solving
48 + -12X + -20x + 5xX + -8x2 + 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 + -12X + -20x + 5xX + -8x2 + -48 + 2x2X = 0 + -48

Reorder the terms:
48 + -48 + -12X + -20x + 5xX + -8x2 + 2x2X = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -12X + -20x + 5xX + -8x2 + 2x2X = 0 + -48
-12X + -20x + 5xX + -8x2 + 2x2X = 0 + -48

Combine like terms: 0 + -48 = -48
-12X + -20x + 5xX + -8x2 + 2x2X = -48

Add '20x' to each side of the equation.
-12X + -20x + 5xX + -8x2 + 20x + 2x2X = -48 + 20x

Reorder the terms:
-12X + -20x + 20x + 5xX + -8x2 + 2x2X = -48 + 20x

Combine like terms: -20x + 20x = 0
-12X + 0 + 5xX + -8x2 + 2x2X = -48 + 20x
-12X + 5xX + -8x2 + 2x2X = -48 + 20x

Add '8x2' to each side of the equation.
-12X + 5xX + -8x2 + 8x2 + 2x2X = -48 + 20x + 8x2

Combine like terms: -8x2 + 8x2 = 0
-12X + 5xX + 0 + 2x2X = -48 + 20x + 8x2
-12X + 5xX + 2x2X = -48 + 20x + 8x2

Reorder the terms:
48 + -12X + -20x + 5xX + -8x2 + 2x2X = -48 + 20x + 8x2 + 48 + -20x + -8x2

Reorder the terms:
48 + -12X + -20x + 5xX + -8x2 + 2x2X = -48 + 48 + 20x + -20x + 8x2 + -8x2

Combine like terms: -48 + 48 = 0
48 + -12X + -20x + 5xX + -8x2 + 2x2X = 0 + 20x + -20x + 8x2 + -8x2
48 + -12X + -20x + 5xX + -8x2 + 2x2X = 20x + -20x + 8x2 + -8x2

Combine like terms: 20x + -20x = 0
48 + -12X + -20x + 5xX + -8x2 + 2x2X = 0 + 8x2 + -8x2
48 + -12X + -20x + 5xX + -8x2 + 2x2X = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
48 + -12X + -20x + 5xX + -8x2 + 2x2X = 0

The solution to this equation could not be determined.

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