(4a^5+2a^2)+(7a^5+9a^2)=

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Solution for (4a^5+2a^2)+(7a^5+9a^2)= equation:


Simplifying
(4a5 + 2a2) + (7a5 + 9a2) = 0

Reorder the terms:
(2a2 + 4a5) + (7a5 + 9a2) = 0

Remove parenthesis around (2a2 + 4a5)
2a2 + 4a5 + (7a5 + 9a2) = 0

Reorder the terms:
2a2 + 4a5 + (9a2 + 7a5) = 0

Remove parenthesis around (9a2 + 7a5)
2a2 + 4a5 + 9a2 + 7a5 = 0

Reorder the terms:
2a2 + 9a2 + 4a5 + 7a5 = 0

Combine like terms: 2a2 + 9a2 = 11a2
11a2 + 4a5 + 7a5 = 0

Combine like terms: 4a5 + 7a5 = 11a5
11a2 + 11a5 = 0

Solving
11a2 + 11a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '11a2'.
11a2(1 + a3) = 0

Ignore the factor 11.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(1 + a3)' equal to zero and attempt to solve: Simplifying 1 + a3 = 0 Solving 1 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a3 = 0 + -1 a3 = 0 + -1 Combine like terms: 0 + -1 = -1 a3 = -1 Simplifying a3 = -1 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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