(X+5)(X+3)=(X+5)(X+3)(X^2-3)

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Solution for (X+5)(X+3)=(X+5)(X+3)(X^2-3) equation: 


Simplifying
(X + 5)(X + 3) = (X + 5)(X + 3)(X2 + -3)

Reorder the terms:
(5 + X)(X + 3) = (X + 5)(X + 3)(X2 + -3)

Reorder the terms:
(5 + X)(3 + X) = (X + 5)(X + 3)(X2 + -3)

Multiply (5 + X) * (3 + X)
(5(3 + X) + X(3 + X)) = (X + 5)(X + 3)(X2 + -3)
((3 * 5 + X * 5) + X(3 + X)) = (X + 5)(X + 3)(X2 + -3)
((15 + 5X) + X(3 + X)) = (X + 5)(X + 3)(X2 + -3)
(15 + 5X + (3 * X + X * X)) = (X + 5)(X + 3)(X2 + -3)
(15 + 5X + (3X + X2)) = (X + 5)(X + 3)(X2 + -3)

Combine like terms: 5X + 3X = 8X
(15 + 8X + X2) = (X + 5)(X + 3)(X2 + -3)

Reorder the terms:
15 + 8X + X2 = (5 + X)(X + 3)(X2 + -3)

Reorder the terms:
15 + 8X + X2 = (5 + X)(3 + X)(X2 + -3)

Reorder the terms:
15 + 8X + X2 = (5 + X)(3 + X)(-3 + X2)

Multiply (5 + X) * (3 + X)
15 + 8X + X2 = (5(3 + X) + X(3 + X))(-3 + X2)
15 + 8X + X2 = ((3 * 5 + X * 5) + X(3 + X))(-3 + X2)
15 + 8X + X2 = ((15 + 5X) + X(3 + X))(-3 + X2)
15 + 8X + X2 = (15 + 5X + (3 * X + X * X))(-3 + X2)
15 + 8X + X2 = (15 + 5X + (3X + X2))(-3 + X2)

Combine like terms: 5X + 3X = 8X
15 + 8X + X2 = (15 + 8X + X2)(-3 + X2)

Multiply (15 + 8X + X2) * (-3 + X2)
15 + 8X + X2 = (15(-3 + X2) + 8X * (-3 + X2) + X2(-3 + X2))
15 + 8X + X2 = ((-3 * 15 + X2 * 15) + 8X * (-3 + X2) + X2(-3 + X2))
15 + 8X + X2 = ((-45 + 15X2) + 8X * (-3 + X2) + X2(-3 + X2))
15 + 8X + X2 = (-45 + 15X2 + (-3 * 8X + X2 * 8X) + X2(-3 + X2))
15 + 8X + X2 = (-45 + 15X2 + (-24X + 8X3) + X2(-3 + X2))
15 + 8X + X2 = (-45 + 15X2 + -24X + 8X3 + (-3 * X2 + X2 * X2))
15 + 8X + X2 = (-45 + 15X2 + -24X + 8X3 + (-3X2 + X4))

Reorder the terms:
15 + 8X + X2 = (-45 + -24X + 15X2 + -3X2 + 8X3 + X4)

Combine like terms: 15X2 + -3X2 = 12X2
15 + 8X + X2 = (-45 + -24X + 12X2 + 8X3 + X4)

Solving
15 + 8X + X2 = -45 + -24X + 12X2 + 8X3 + X4

Solving for variable 'X'.

Reorder the terms:
15 + 45 + 8X + 24X + X2 + -12X2 + -8X3 + -1X4 = -45 + -24X + 12X2 + 8X3 + X4 + 45 + 24X + -12X2 + -8X3 + -1X4

Combine like terms: 15 + 45 = 60
60 + 8X + 24X + X2 + -12X2 + -8X3 + -1X4 = -45 + -24X + 12X2 + 8X3 + X4 + 45 + 24X + -12X2 + -8X3 + -1X4

Combine like terms: 8X + 24X = 32X
60 + 32X + X2 + -12X2 + -8X3 + -1X4 = -45 + -24X + 12X2 + 8X3 + X4 + 45 + 24X + -12X2 + -8X3 + -1X4

Combine like terms: X2 + -12X2 = -11X2
60 + 32X + -11X2 + -8X3 + -1X4 = -45 + -24X + 12X2 + 8X3 + X4 + 45 + 24X + -12X2 + -8X3 + -1X4

Reorder the terms:
60 + 32X + -11X2 + -8X3 + -1X4 = -45 + 45 + -24X + 24X + 12X2 + -12X2 + 8X3 + -8X3 + X4 + -1X4

Combine like terms: -45 + 45 = 0
60 + 32X + -11X2 + -8X3 + -1X4 = 0 + -24X + 24X + 12X2 + -12X2 + 8X3 + -8X3 + X4 + -1X4
60 + 32X + -11X2 + -8X3 + -1X4 = -24X + 24X + 12X2 + -12X2 + 8X3 + -8X3 + X4 + -1X4

Combine like terms: -24X + 24X = 0
60 + 32X + -11X2 + -8X3 + -1X4 = 0 + 12X2 + -12X2 + 8X3 + -8X3 + X4 + -1X4
60 + 32X + -11X2 + -8X3 + -1X4 = 12X2 + -12X2 + 8X3 + -8X3 + X4 + -1X4

Combine like terms: 12X2 + -12X2 = 0
60 + 32X + -11X2 + -8X3 + -1X4 = 0 + 8X3 + -8X3 + X4 + -1X4
60 + 32X + -11X2 + -8X3 + -1X4 = 8X3 + -8X3 + X4 + -1X4

Combine like terms: 8X3 + -8X3 = 0
60 + 32X + -11X2 + -8X3 + -1X4 = 0 + X4 + -1X4
60 + 32X + -11X2 + -8X3 + -1X4 = X4 + -1X4

Combine like terms: X4 + -1X4 = 0
60 + 32X + -11X2 + -8X3 + -1X4 = 0

The solution to this equation could not be determined.

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