(3a+5a^4)+(2a^4+2a)=

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Solution for (3a+5a^4)+(2a^4+2a)= equation:


Simplifying
(3a + 5a4) + (2a4 + 2a) = 0

Remove parenthesis around (3a + 5a4)
3a + 5a4 + (2a4 + 2a) = 0

Reorder the terms:
3a + 5a4 + (2a + 2a4) = 0

Remove parenthesis around (2a + 2a4)
3a + 5a4 + 2a + 2a4 = 0

Reorder the terms:
3a + 2a + 5a4 + 2a4 = 0

Combine like terms: 3a + 2a = 5a
5a + 5a4 + 2a4 = 0

Combine like terms: 5a4 + 2a4 = 7a4
5a + 7a4 = 0

Solving
5a + 7a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(5 + 7a3) = 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 '(5 + 7a3)' equal to zero and attempt to solve: Simplifying 5 + 7a3 = 0 Solving 5 + 7a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7a3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7a3 = 0 + -5 7a3 = 0 + -5 Combine like terms: 0 + -5 = -5 7a3 = -5 Divide each side by '7'. a3 = -0.7142857143 Simplifying a3 = -0.7142857143 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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