-3x^4+2x^3+4x^4+6x^3=

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Solution for -3x^4+2x^3+4x^4+6x^3= equation:


Simplifying
-3x4 + 2x3 + 4x4 + 6x3 = 0

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

Combine like terms: 2x3 + 6x3 = 8x3
8x3 + -3x4 + 4x4 = 0

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

Solving
8x3 + 1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(8 + x) = 0

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Solution

x = {-8}

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