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

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


Simplifying
(6x4 + 7x + -5x3) + -1(4x4 + -2x3 + 3x) = 0

Reorder the terms:
(7x + -5x3 + 6x4) + -1(4x4 + -2x3 + 3x) = 0

Remove parenthesis around (7x + -5x3 + 6x4)
7x + -5x3 + 6x4 + -1(4x4 + -2x3 + 3x) = 0

Reorder the terms:
7x + -5x3 + 6x4 + -1(3x + -2x3 + 4x4) = 0
7x + -5x3 + 6x4 + (3x * -1 + -2x3 * -1 + 4x4 * -1) = 0
7x + -5x3 + 6x4 + (-3x + 2x3 + -4x4) = 0

Reorder the terms:
7x + -3x + -5x3 + 2x3 + 6x4 + -4x4 = 0

Combine like terms: 7x + -3x = 4x
4x + -5x3 + 2x3 + 6x4 + -4x4 = 0

Combine like terms: -5x3 + 2x3 = -3x3
4x + -3x3 + 6x4 + -4x4 = 0

Combine like terms: 6x4 + -4x4 = 2x4
4x + -3x3 + 2x4 = 0

Solving
4x + -3x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -3x2 + 2x3) = 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 '(4 + -3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
4 + -3x2 + 2x3 = 0

Solving
4 + -3x2 + 2x3 = 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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