(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 + -3x + x2)(x2 + 3x + -3) = 5

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

Multiply (1 + -3x + x2) * (-3 + 3x + x2)
(1(-3 + 3x + x2) + -3x * (-3 + 3x + x2) + x2(-3 + 3x + x2)) = 5
((-3 * 1 + 3x * 1 + x2 * 1) + -3x * (-3 + 3x + x2) + x2(-3 + 3x + x2)) = 5
((-3 + 3x + 1x2) + -3x * (-3 + 3x + x2) + x2(-3 + 3x + x2)) = 5
(-3 + 3x + 1x2 + (-3 * -3x + 3x * -3x + x2 * -3x) + x2(-3 + 3x + x2)) = 5
(-3 + 3x + 1x2 + (9x + -9x2 + -3x3) + x2(-3 + 3x + x2)) = 5
(-3 + 3x + 1x2 + 9x + -9x2 + -3x3 + (-3 * x2 + 3x * x2 + x2 * x2)) = 5
(-3 + 3x + 1x2 + 9x + -9x2 + -3x3 + (-3x2 + 3x3 + x4)) = 5

Reorder the terms:
(-3 + 3x + 9x + 1x2 + -9x2 + -3x2 + -3x3 + 3x3 + x4) = 5

Combine like terms: 3x + 9x = 12x
(-3 + 12x + 1x2 + -9x2 + -3x2 + -3x3 + 3x3 + x4) = 5

Combine like terms: 1x2 + -9x2 = -8x2
(-3 + 12x + -8x2 + -3x2 + -3x3 + 3x3 + x4) = 5

Combine like terms: -8x2 + -3x2 = -11x2
(-3 + 12x + -11x2 + -3x3 + 3x3 + x4) = 5

Combine like terms: -3x3 + 3x3 = 0
(-3 + 12x + -11x2 + 0 + x4) = 5
(-3 + 12x + -11x2 + x4) = 5

Solving
-3 + 12x + -11x2 + x4 = 5

Solving for variable 'x'.

Reorder the terms:
-3 + -5 + 12x + -11x2 + x4 = 5 + -5

Combine like terms: -3 + -5 = -8
-8 + 12x + -11x2 + x4 = 5 + -5

Combine like terms: 5 + -5 = 0
-8 + 12x + -11x2 + x4 = 0

The solution to this equation could not be determined.

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