(8x^4-6x)-(7x^3-2x^2-x)=0

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Solution for (8x^4-6x)-(7x^3-2x^2-x)=0 equation: 


Simplifying
(8x4 + -6x) + -1(7x3 + -2x2 + -1x) = 0

Reorder the terms:
(-6x + 8x4) + -1(7x3 + -2x2 + -1x) = 0

Remove parenthesis around (-6x + 8x4)
-6x + 8x4 + -1(7x3 + -2x2 + -1x) = 0

Reorder the terms:
-6x + 8x4 + -1(-1x + -2x2 + 7x3) = 0
-6x + 8x4 + (-1x * -1 + -2x2 * -1 + 7x3 * -1) = 0
-6x + 8x4 + (1x + 2x2 + -7x3) = 0

Reorder the terms:
-6x + 1x + 2x2 + -7x3 + 8x4 = 0

Combine like terms: -6x + 1x = -5x
-5x + 2x2 + -7x3 + 8x4 = 0

Solving
-5x + 2x2 + -7x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 2x + -7x2 + 8x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-5 + 2x + -7x2 + 8x3)' equal to zero and attempt to solve:

Simplifying
-5 + 2x + -7x2 + 8x3 = 0

Solving
-5 + 2x + -7x2 + 8x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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