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

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


Simplifying
(7x4 + -2x2 + -3x) + (x4 + 2x3 + 2x2 + 3x + -2) = 0

Reorder the terms:
(-3x + -2x2 + 7x4) + (x4 + 2x3 + 2x2 + 3x + -2) = 0

Remove parenthesis around (-3x + -2x2 + 7x4)
-3x + -2x2 + 7x4 + (x4 + 2x3 + 2x2 + 3x + -2) = 0

Reorder the terms:
-3x + -2x2 + 7x4 + (-2 + 3x + 2x2 + 2x3 + x4) = 0

Remove parenthesis around (-2 + 3x + 2x2 + 2x3 + x4)
-3x + -2x2 + 7x4 + -2 + 3x + 2x2 + 2x3 + x4 = 0

Reorder the terms:
-2 + -3x + 3x + -2x2 + 2x2 + 2x3 + 7x4 + x4 = 0

Combine like terms: -3x + 3x = 0
-2 + 0 + -2x2 + 2x2 + 2x3 + 7x4 + x4 = 0
-2 + -2x2 + 2x2 + 2x3 + 7x4 + x4 = 0

Combine like terms: -2x2 + 2x2 = 0
-2 + 0 + 2x3 + 7x4 + x4 = 0
-2 + 2x3 + 7x4 + x4 = 0

Combine like terms: 7x4 + x4 = 8x4
-2 + 2x3 + 8x4 = 0

Solving
-2 + 2x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + x3 + 4x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + x3 + 4x4)' equal to zero and attempt to solve: Simplifying -1 + x3 + 4x4 = 0 Solving -1 + x3 + 4x4 = 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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