(X+6)(x-4)(x-20)=0

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Solution for (X+6)(x-4)(x-20)=0 equation: 


Simplifying
(X + 6)(x + -4)(x + -20) = 0

Reorder the terms:
(6 + X)(x + -4)(x + -20) = 0

Reorder the terms:
(6 + X)(-4 + x)(x + -20) = 0

Reorder the terms:
(6 + X)(-4 + x)(-20 + x) = 0

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

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

Multiply (-24 + -4X + 6x + xX) * (-20 + x)
(-24(-20 + x) + -4X * (-20 + x) + 6x * (-20 + x) + xX(-20 + x)) = 0
((-20 * -24 + x * -24) + -4X * (-20 + x) + 6x * (-20 + x) + xX(-20 + x)) = 0
((480 + -24x) + -4X * (-20 + x) + 6x * (-20 + x) + xX(-20 + x)) = 0
(480 + -24x + (-20 * -4X + x * -4X) + 6x * (-20 + x) + xX(-20 + x)) = 0
(480 + -24x + (80X + -4xX) + 6x * (-20 + x) + xX(-20 + x)) = 0
(480 + -24x + 80X + -4xX + (-20 * 6x + x * 6x) + xX(-20 + x)) = 0
(480 + -24x + 80X + -4xX + (-120x + 6x2) + xX(-20 + x)) = 0
(480 + -24x + 80X + -4xX + -120x + 6x2 + (-20 * xX + x * xX)) = 0
(480 + -24x + 80X + -4xX + -120x + 6x2 + (-20xX + x2X)) = 0

Reorder the terms:
(480 + 80X + -24x + -120x + -4xX + -20xX + 6x2 + x2X) = 0

Combine like terms: -24x + -120x = -144x
(480 + 80X + -144x + -4xX + -20xX + 6x2 + x2X) = 0

Combine like terms: -4xX + -20xX = -24xX
(480 + 80X + -144x + -24xX + 6x2 + x2X) = 0

Solving
480 + 80X + -144x + -24xX + 6x2 + x2X = 0

Solving for variable 'X'.

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

Add '-480' to each side of the equation.
480 + 80X + -144x + -24xX + 6x2 + -480 + x2X = 0 + -480

Reorder the terms:
480 + -480 + 80X + -144x + -24xX + 6x2 + x2X = 0 + -480

Combine like terms: 480 + -480 = 0
0 + 80X + -144x + -24xX + 6x2 + x2X = 0 + -480
80X + -144x + -24xX + 6x2 + x2X = 0 + -480

Combine like terms: 0 + -480 = -480
80X + -144x + -24xX + 6x2 + x2X = -480

Add '144x' to each side of the equation.
80X + -144x + -24xX + 6x2 + 144x + x2X = -480 + 144x

Reorder the terms:
80X + -144x + 144x + -24xX + 6x2 + x2X = -480 + 144x

Combine like terms: -144x + 144x = 0
80X + 0 + -24xX + 6x2 + x2X = -480 + 144x
80X + -24xX + 6x2 + x2X = -480 + 144x

Add '-6x2' to each side of the equation.
80X + -24xX + 6x2 + -6x2 + x2X = -480 + 144x + -6x2

Combine like terms: 6x2 + -6x2 = 0
80X + -24xX + 0 + x2X = -480 + 144x + -6x2
80X + -24xX + x2X = -480 + 144x + -6x2

Reorder the terms:
480 + 80X + -144x + -24xX + 6x2 + x2X = -480 + 144x + -6x2 + 480 + -144x + 6x2

Reorder the terms:
480 + 80X + -144x + -24xX + 6x2 + x2X = -480 + 480 + 144x + -144x + -6x2 + 6x2

Combine like terms: -480 + 480 = 0
480 + 80X + -144x + -24xX + 6x2 + x2X = 0 + 144x + -144x + -6x2 + 6x2
480 + 80X + -144x + -24xX + 6x2 + x2X = 144x + -144x + -6x2 + 6x2

Combine like terms: 144x + -144x = 0
480 + 80X + -144x + -24xX + 6x2 + x2X = 0 + -6x2 + 6x2
480 + 80X + -144x + -24xX + 6x2 + x2X = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
480 + 80X + -144x + -24xX + 6x2 + x2X = 0

The solution to this equation could not be determined.

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