(X^2+3x+1)(x^2+3x-3)=5

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Solution for (X^2+3x+1)(x^2+3x-3)=5 equation:


Simplifying
(X2 + 3x + 1)(x2 + 3x + -3) = 5

Reorder the terms:
(1 + X2 + 3x)(x2 + 3x + -3) = 5

Reorder the terms:
(1 + X2 + 3x)(-3 + 3x + x2) = 5

Multiply (1 + X2 + 3x) * (-3 + 3x + x2)
(1(-3 + 3x + x2) + X2(-3 + 3x + x2) + 3x * (-3 + 3x + x2)) = 5
((-3 * 1 + 3x * 1 + x2 * 1) + X2(-3 + 3x + x2) + 3x * (-3 + 3x + x2)) = 5
((-3 + 3x + 1x2) + X2(-3 + 3x + x2) + 3x * (-3 + 3x + x2)) = 5
(-3 + 3x + 1x2 + (-3 * X2 + 3x * X2 + x2 * X2) + 3x * (-3 + 3x + x2)) = 5
(-3 + 3x + 1x2 + (-3X2 + 3xX2 + x2X2) + 3x * (-3 + 3x + x2)) = 5
(-3 + 3x + 1x2 + -3X2 + 3xX2 + x2X2 + (-3 * 3x + 3x * 3x + x2 * 3x)) = 5
(-3 + 3x + 1x2 + -3X2 + 3xX2 + x2X2 + (-9x + 9x2 + 3x3)) = 5

Reorder the terms:
(-3 + -3X2 + 3x + -9x + 3xX2 + 1x2 + 9x2 + x2X2 + 3x3) = 5

Combine like terms: 3x + -9x = -6x
(-3 + -3X2 + -6x + 3xX2 + 1x2 + 9x2 + x2X2 + 3x3) = 5

Combine like terms: 1x2 + 9x2 = 10x2
(-3 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3) = 5

Solving
-3 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 5

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3 + 3x3 = 5 + 3

Reorder the terms:
-3 + 3 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 5 + 3
-3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 5 + 3

Combine like terms: 5 + 3 = 8
-3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 8

Add '6x' to each side of the equation.
-3X2 + -6x + 3xX2 + 10x2 + x2X2 + 6x + 3x3 = 8 + 6x

Reorder the terms:
-3X2 + -6x + 6x + 3xX2 + 10x2 + x2X2 + 3x3 = 8 + 6x

Combine like terms: -6x + 6x = 0
-3X2 + 0 + 3xX2 + 10x2 + x2X2 + 3x3 = 8 + 6x
-3X2 + 3xX2 + 10x2 + x2X2 + 3x3 = 8 + 6x

Add '-10x2' to each side of the equation.
-3X2 + 3xX2 + 10x2 + x2X2 + -10x2 + 3x3 = 8 + 6x + -10x2

Reorder the terms:
-3X2 + 3xX2 + 10x2 + -10x2 + x2X2 + 3x3 = 8 + 6x + -10x2

Combine like terms: 10x2 + -10x2 = 0
-3X2 + 3xX2 + 0 + x2X2 + 3x3 = 8 + 6x + -10x2
-3X2 + 3xX2 + x2X2 + 3x3 = 8 + 6x + -10x2

Add '-3x3' to each side of the equation.
-3X2 + 3xX2 + x2X2 + 3x3 + -3x3 = 8 + 6x + -10x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-3X2 + 3xX2 + x2X2 + 0 = 8 + 6x + -10x2 + -3x3
-3X2 + 3xX2 + x2X2 = 8 + 6x + -10x2 + -3x3

Reorder the terms:
-8 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 8 + 6x + -10x2 + -3x3 + -8 + -6x + 10x2 + 3x3

Reorder the terms:
-8 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 8 + -8 + 6x + -6x + -10x2 + 10x2 + -3x3 + 3x3

Combine like terms: 8 + -8 = 0
-8 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 0 + 6x + -6x + -10x2 + 10x2 + -3x3 + 3x3
-8 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 6x + -6x + -10x2 + 10x2 + -3x3 + 3x3

Combine like terms: 6x + -6x = 0
-8 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 0 + -10x2 + 10x2 + -3x3 + 3x3
-8 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = -10x2 + 10x2 + -3x3 + 3x3

Combine like terms: -10x2 + 10x2 = 0
-8 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 0 + -3x3 + 3x3
-8 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = -3x3 + 3x3

Combine like terms: -3x3 + 3x3 = 0
-8 + -3X2 + -6x + 3xX2 + 10x2 + x2X2 + 3x3 = 0

The solution to this equation could not be determined.

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