(13a^2-6a^5-2a)-(10a^2-11a^5+9a)=0

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Solution for (13a^2-6a^5-2a)-(10a^2-11a^5+9a)=0 equation:


Simplifying
(13a2 + -6a5 + -2a) + -1(10a2 + -11a5 + 9a) = 0

Reorder the terms:
(-2a + 13a2 + -6a5) + -1(10a2 + -11a5 + 9a) = 0

Remove parenthesis around (-2a + 13a2 + -6a5)
-2a + 13a2 + -6a5 + -1(10a2 + -11a5 + 9a) = 0

Reorder the terms:
-2a + 13a2 + -6a5 + -1(9a + 10a2 + -11a5) = 0
-2a + 13a2 + -6a5 + (9a * -1 + 10a2 * -1 + -11a5 * -1) = 0
-2a + 13a2 + -6a5 + (-9a + -10a2 + 11a5) = 0

Reorder the terms:
-2a + -9a + 13a2 + -10a2 + -6a5 + 11a5 = 0

Combine like terms: -2a + -9a = -11a
-11a + 13a2 + -10a2 + -6a5 + 11a5 = 0

Combine like terms: 13a2 + -10a2 = 3a2
-11a + 3a2 + -6a5 + 11a5 = 0

Combine like terms: -6a5 + 11a5 = 5a5
-11a + 3a2 + 5a5 = 0

Solving
-11a + 3a2 + 5a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-11 + 3a + 5a4) = 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 '(-11 + 3a + 5a4)' equal to zero and attempt to solve: Simplifying -11 + 3a + 5a4 = 0 Solving -11 + 3a + 5a4 = 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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