(x^2-3x+3)(x^2-3x-5)=-7

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Solution for (x^2-3x+3)(x^2-3x-5)=-7 equation:


Simplifying
(x2 + -3x + 3)(x2 + -3x + -5) = -7

Reorder the terms:
(3 + -3x + x2)(x2 + -3x + -5) = -7

Reorder the terms:
(3 + -3x + x2)(-5 + -3x + x2) = -7

Multiply (3 + -3x + x2) * (-5 + -3x + x2)
(3(-5 + -3x + x2) + -3x * (-5 + -3x + x2) + x2(-5 + -3x + x2)) = -7
((-5 * 3 + -3x * 3 + x2 * 3) + -3x * (-5 + -3x + x2) + x2(-5 + -3x + x2)) = -7
((-15 + -9x + 3x2) + -3x * (-5 + -3x + x2) + x2(-5 + -3x + x2)) = -7
(-15 + -9x + 3x2 + (-5 * -3x + -3x * -3x + x2 * -3x) + x2(-5 + -3x + x2)) = -7
(-15 + -9x + 3x2 + (15x + 9x2 + -3x3) + x2(-5 + -3x + x2)) = -7
(-15 + -9x + 3x2 + 15x + 9x2 + -3x3 + (-5 * x2 + -3x * x2 + x2 * x2)) = -7
(-15 + -9x + 3x2 + 15x + 9x2 + -3x3 + (-5x2 + -3x3 + x4)) = -7

Reorder the terms:
(-15 + -9x + 15x + 3x2 + 9x2 + -5x2 + -3x3 + -3x3 + x4) = -7

Combine like terms: -9x + 15x = 6x
(-15 + 6x + 3x2 + 9x2 + -5x2 + -3x3 + -3x3 + x4) = -7

Combine like terms: 3x2 + 9x2 = 12x2
(-15 + 6x + 12x2 + -5x2 + -3x3 + -3x3 + x4) = -7

Combine like terms: 12x2 + -5x2 = 7x2
(-15 + 6x + 7x2 + -3x3 + -3x3 + x4) = -7

Combine like terms: -3x3 + -3x3 = -6x3
(-15 + 6x + 7x2 + -6x3 + x4) = -7

Solving
-15 + 6x + 7x2 + -6x3 + x4 = -7

Solving for variable 'x'.

Reorder the terms:
-15 + 7 + 6x + 7x2 + -6x3 + x4 = -7 + 7

Combine like terms: -15 + 7 = -8
-8 + 6x + 7x2 + -6x3 + x4 = -7 + 7

Combine like terms: -7 + 7 = 0
-8 + 6x + 7x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

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