(x-5)(3x^2+4x-1)-(-x^3+7x^2-6)=0

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Solution for (x-5)(3x^2+4x-1)-(-x^3+7x^2-6)=0 equation: 


Simplifying
(x + -5)(3x2 + 4x + -1) + -1(-1x3 + 7x2 + -6) = 0

Reorder the terms:
(-5 + x)(3x2 + 4x + -1) + -1(-1x3 + 7x2 + -6) = 0

Reorder the terms:
(-5 + x)(-1 + 4x + 3x2) + -1(-1x3 + 7x2 + -6) = 0

Multiply (-5 + x) * (-1 + 4x + 3x2)
(-5(-1 + 4x + 3x2) + x(-1 + 4x + 3x2)) + -1(-1x3 + 7x2 + -6) = 0
((-1 * -5 + 4x * -5 + 3x2 * -5) + x(-1 + 4x + 3x2)) + -1(-1x3 + 7x2 + -6) = 0
((5 + -20x + -15x2) + x(-1 + 4x + 3x2)) + -1(-1x3 + 7x2 + -6) = 0
(5 + -20x + -15x2 + (-1 * x + 4x * x + 3x2 * x)) + -1(-1x3 + 7x2 + -6) = 0
(5 + -20x + -15x2 + (-1x + 4x2 + 3x3)) + -1(-1x3 + 7x2 + -6) = 0

Reorder the terms:
(5 + -20x + -1x + -15x2 + 4x2 + 3x3) + -1(-1x3 + 7x2 + -6) = 0

Combine like terms: -20x + -1x = -21x
(5 + -21x + -15x2 + 4x2 + 3x3) + -1(-1x3 + 7x2 + -6) = 0

Combine like terms: -15x2 + 4x2 = -11x2
(5 + -21x + -11x2 + 3x3) + -1(-1x3 + 7x2 + -6) = 0

Reorder the terms:
5 + -21x + -11x2 + 3x3 + -1(-6 + 7x2 + -1x3) = 0
5 + -21x + -11x2 + 3x3 + (-6 * -1 + 7x2 * -1 + -1x3 * -1) = 0
5 + -21x + -11x2 + 3x3 + (6 + -7x2 + 1x3) = 0

Reorder the terms:
5 + 6 + -21x + -11x2 + -7x2 + 3x3 + 1x3 = 0

Combine like terms: 5 + 6 = 11
11 + -21x + -11x2 + -7x2 + 3x3 + 1x3 = 0

Combine like terms: -11x2 + -7x2 = -18x2
11 + -21x + -18x2 + 3x3 + 1x3 = 0

Combine like terms: 3x3 + 1x3 = 4x3
11 + -21x + -18x2 + 4x3 = 0

Solving
11 + -21x + -18x2 + 4x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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