(3x^3-2x^2+6x-8)-(7x^3-2x^2-6x+4)=

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Solution for (3x^3-2x^2+6x-8)-(7x^3-2x^2-6x+4)= equation:


Simplifying
(3x3 + -2x2 + 6x + -8) + -1(7x3 + -2x2 + -6x + 4) = 0

Reorder the terms:
(-8 + 6x + -2x2 + 3x3) + -1(7x3 + -2x2 + -6x + 4) = 0

Remove parenthesis around (-8 + 6x + -2x2 + 3x3)
-8 + 6x + -2x2 + 3x3 + -1(7x3 + -2x2 + -6x + 4) = 0

Reorder the terms:
-8 + 6x + -2x2 + 3x3 + -1(4 + -6x + -2x2 + 7x3) = 0
-8 + 6x + -2x2 + 3x3 + (4 * -1 + -6x * -1 + -2x2 * -1 + 7x3 * -1) = 0
-8 + 6x + -2x2 + 3x3 + (-4 + 6x + 2x2 + -7x3) = 0

Reorder the terms:
-8 + -4 + 6x + 6x + -2x2 + 2x2 + 3x3 + -7x3 = 0

Combine like terms: -8 + -4 = -12
-12 + 6x + 6x + -2x2 + 2x2 + 3x3 + -7x3 = 0

Combine like terms: 6x + 6x = 12x
-12 + 12x + -2x2 + 2x2 + 3x3 + -7x3 = 0

Combine like terms: -2x2 + 2x2 = 0
-12 + 12x + 0 + 3x3 + -7x3 = 0
-12 + 12x + 3x3 + -7x3 = 0

Combine like terms: 3x3 + -7x3 = -4x3
-12 + 12x + -4x3 = 0

Solving
-12 + 12x + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 3x + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + 3x + -1x3)' equal to zero and attempt to solve: Simplifying -3 + 3x + -1x3 = 0 Solving -3 + 3x + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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