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

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


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

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

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

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

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

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

Combine like terms: 5x + 4x = 9x
9x + 3x3 + 5x3 + 3x4 + -4x4 = 0

Combine like terms: 3x3 + 5x3 = 8x3
9x + 8x3 + 3x4 + -4x4 = 0

Combine like terms: 3x4 + -4x4 = -1x4
9x + 8x3 + -1x4 = 0

Solving
9x + 8x3 + -1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 8x2 + -1x3) = 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 '(9 + 8x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
9 + 8x2 + -1x3 = 0

Solving
9 + 8x2 + -1x3 = 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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