6a^4-7a^3+3a^4=

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Solution for 6a^4-7a^3+3a^4= equation:


Simplifying
6a4 + -7a3 + 3a4 = 0

Reorder the terms:
-7a3 + 6a4 + 3a4 = 0

Combine like terms: 6a4 + 3a4 = 9a4
-7a3 + 9a4 = 0

Solving
-7a3 + 9a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a3'.
a3(-7 + 9a) = 0

Subproblem 1

Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 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 '(-7 + 9a)' equal to zero and attempt to solve: Simplifying -7 + 9a = 0 Solving -7 + 9a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9a = 0 + 7 9a = 0 + 7 Combine like terms: 0 + 7 = 7 9a = 7 Divide each side by '9'. a = 0.7777777778 Simplifying a = 0.7777777778

Solution

a = {0.7777777778}

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