(3x^4-5x^3-2x)+(6x^4-7x)=0

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Solution for (3x^4-5x^3-2x)+(6x^4-7x)=0 equation:


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

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

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

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

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

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

Combine like terms: -2x + -7x = -9x
-9x + -5x3 + 3x4 + 6x4 = 0

Combine like terms: 3x4 + 6x4 = 9x4
-9x + -5x3 + 9x4 = 0

Solving
-9x + -5x3 + 9x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + -5x2 + 9x3) = 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 + -5x2 + 9x3)' equal to zero and attempt to solve: Simplifying -9 + -5x2 + 9x3 = 0 Solving -9 + -5x2 + 9x3 = 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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