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

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


Simplifying
(3x2 + -1x + 5)(3x2 + -1x + -3) = -7

Reorder the terms:
(5 + -1x + 3x2)(3x2 + -1x + -3) = -7

Reorder the terms:
(5 + -1x + 3x2)(-3 + -1x + 3x2) = -7

Multiply (5 + -1x + 3x2) * (-3 + -1x + 3x2)
(5(-3 + -1x + 3x2) + -1x * (-3 + -1x + 3x2) + 3x2 * (-3 + -1x + 3x2)) = -7
((-3 * 5 + -1x * 5 + 3x2 * 5) + -1x * (-3 + -1x + 3x2) + 3x2 * (-3 + -1x + 3x2)) = -7
((-15 + -5x + 15x2) + -1x * (-3 + -1x + 3x2) + 3x2 * (-3 + -1x + 3x2)) = -7
(-15 + -5x + 15x2 + (-3 * -1x + -1x * -1x + 3x2 * -1x) + 3x2 * (-3 + -1x + 3x2)) = -7
(-15 + -5x + 15x2 + (3x + 1x2 + -3x3) + 3x2 * (-3 + -1x + 3x2)) = -7
(-15 + -5x + 15x2 + 3x + 1x2 + -3x3 + (-3 * 3x2 + -1x * 3x2 + 3x2 * 3x2)) = -7
(-15 + -5x + 15x2 + 3x + 1x2 + -3x3 + (-9x2 + -3x3 + 9x4)) = -7

Reorder the terms:
(-15 + -5x + 3x + 15x2 + 1x2 + -9x2 + -3x3 + -3x3 + 9x4) = -7

Combine like terms: -5x + 3x = -2x
(-15 + -2x + 15x2 + 1x2 + -9x2 + -3x3 + -3x3 + 9x4) = -7

Combine like terms: 15x2 + 1x2 = 16x2
(-15 + -2x + 16x2 + -9x2 + -3x3 + -3x3 + 9x4) = -7

Combine like terms: 16x2 + -9x2 = 7x2
(-15 + -2x + 7x2 + -3x3 + -3x3 + 9x4) = -7

Combine like terms: -3x3 + -3x3 = -6x3
(-15 + -2x + 7x2 + -6x3 + 9x4) = -7

Solving
-15 + -2x + 7x2 + -6x3 + 9x4 = -7

Solving for variable 'x'.

Reorder the terms:
-15 + 7 + -2x + 7x2 + -6x3 + 9x4 = -7 + 7

Combine like terms: -15 + 7 = -8
-8 + -2x + 7x2 + -6x3 + 9x4 = -7 + 7

Combine like terms: -7 + 7 = 0
-8 + -2x + 7x2 + -6x3 + 9x4 = 0

The solution to this equation could not be determined.

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