(X+2)(X+3)(X+8)(x+12)=4(x^2)

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Solution for (X+2)(X+3)(X+8)(x+12)=4(x^2) equation:


Simplifying
(X + 2)(X + 3)(X + 8)(x + 12) = 4(x2)

Reorder the terms:
(2 + X)(X + 3)(X + 8)(x + 12) = 4(x2)

Reorder the terms:
(2 + X)(3 + X)(X + 8)(x + 12) = 4(x2)

Reorder the terms:
(2 + X)(3 + X)(8 + X)(x + 12) = 4(x2)

Reorder the terms:
(2 + X)(3 + X)(8 + X)(12 + x) = 4(x2)

Multiply (2 + X) * (3 + X)
(2(3 + X) + X(3 + X))(8 + X)(12 + x) = 4(x2)
((3 * 2 + X * 2) + X(3 + X))(8 + X)(12 + x) = 4(x2)
((6 + 2X) + X(3 + X))(8 + X)(12 + x) = 4(x2)
(6 + 2X + (3 * X + X * X))(8 + X)(12 + x) = 4(x2)
(6 + 2X + (3X + X2))(8 + X)(12 + x) = 4(x2)

Combine like terms: 2X + 3X = 5X
(6 + 5X + X2)(8 + X)(12 + x) = 4(x2)

Multiply (6 + 5X + X2) * (8 + X)
(6(8 + X) + 5X * (8 + X) + X2(8 + X))(12 + x) = 4(x2)
((8 * 6 + X * 6) + 5X * (8 + X) + X2(8 + X))(12 + x) = 4(x2)
((48 + 6X) + 5X * (8 + X) + X2(8 + X))(12 + x) = 4(x2)
(48 + 6X + (8 * 5X + X * 5X) + X2(8 + X))(12 + x) = 4(x2)
(48 + 6X + (40X + 5X2) + X2(8 + X))(12 + x) = 4(x2)
(48 + 6X + 40X + 5X2 + (8 * X2 + X * X2))(12 + x) = 4(x2)
(48 + 6X + 40X + 5X2 + (8X2 + X3))(12 + x) = 4(x2)

Combine like terms: 6X + 40X = 46X
(48 + 46X + 5X2 + 8X2 + X3)(12 + x) = 4(x2)

Combine like terms: 5X2 + 8X2 = 13X2
(48 + 46X + 13X2 + X3)(12 + x) = 4(x2)

Multiply (48 + 46X + 13X2 + X3) * (12 + x)
(48(12 + x) + 46X * (12 + x) + 13X2 * (12 + x) + X3(12 + x)) = 4(x2)
((12 * 48 + x * 48) + 46X * (12 + x) + 13X2 * (12 + x) + X3(12 + x)) = 4(x2)
((576 + 48x) + 46X * (12 + x) + 13X2 * (12 + x) + X3(12 + x)) = 4(x2)
(576 + 48x + (12 * 46X + x * 46X) + 13X2 * (12 + x) + X3(12 + x)) = 4(x2)
(576 + 48x + (552X + 46xX) + 13X2 * (12 + x) + X3(12 + x)) = 4(x2)
(576 + 48x + 552X + 46xX + (12 * 13X2 + x * 13X2) + X3(12 + x)) = 4(x2)
(576 + 48x + 552X + 46xX + (156X2 + 13xX2) + X3(12 + x)) = 4(x2)
(576 + 48x + 552X + 46xX + 156X2 + 13xX2 + (12 * X3 + x * X3)) = 4(x2)
(576 + 48x + 552X + 46xX + 156X2 + 13xX2 + (12X3 + xX3)) = 4(x2)

Reorder the terms:
(576 + 552X + 156X2 + 12X3 + 48x + 46xX + 13xX2 + xX3) = 4(x2)
(576 + 552X + 156X2 + 12X3 + 48x + 46xX + 13xX2 + xX3) = 4(x2)

Solving
576 + 552X + 156X2 + 12X3 + 48x + 46xX + 13xX2 + xX3 = 4x2

Solving for variable 'X'.

Combine like terms: 4x2 + -4x2 = 0
576 + 552X + 156X2 + 12X3 + 48x + 46xX + 13xX2 + xX3 + -4x2 = 0

The solution to this equation could not be determined.

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