(6a^4+a^2)-(2a^3+4a^2-a)=

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Solution for (6a^4+a^2)-(2a^3+4a^2-a)= equation:


Simplifying
(6a4 + a2) + -1(2a3 + 4a2 + -1a) = 0

Reorder the terms:
(a2 + 6a4) + -1(2a3 + 4a2 + -1a) = 0

Remove parenthesis around (a2 + 6a4)
a2 + 6a4 + -1(2a3 + 4a2 + -1a) = 0

Reorder the terms:
a2 + 6a4 + -1(-1a + 4a2 + 2a3) = 0
a2 + 6a4 + (-1a * -1 + 4a2 * -1 + 2a3 * -1) = 0
a2 + 6a4 + (1a + -4a2 + -2a3) = 0

Reorder the terms:
1a + a2 + -4a2 + -2a3 + 6a4 = 0

Combine like terms: a2 + -4a2 = -3a2
1a + -3a2 + -2a3 + 6a4 = 0

Solving
1a + -3a2 + -2a3 + 6a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + -3a + -2a2 + 6a3) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(1 + -3a + -2a2 + 6a3)' equal to zero and attempt to solve: Simplifying 1 + -3a + -2a2 + 6a3 = 0 Solving 1 + -3a + -2a2 + 6a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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