(4a^2+4a^4)+(7a^2-3a^4)=

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Solution for (4a^2+4a^4)+(7a^2-3a^4)= equation: 


Simplifying
(4a2 + 4a4) + (7a2 + -3a4) = 0

Remove parenthesis around (4a2 + 4a4)
4a2 + 4a4 + (7a2 + -3a4) = 0

Remove parenthesis around (7a2 + -3a4)
4a2 + 4a4 + 7a2 + -3a4 = 0

Reorder the terms:
4a2 + 7a2 + 4a4 + -3a4 = 0

Combine like terms: 4a2 + 7a2 = 11a2
11a2 + 4a4 + -3a4 = 0

Combine like terms: 4a4 + -3a4 = 1a4
11a2 + 1a4 = 0

Solving
11a2 + 1a4 = 0

Solving for variable 'a'.

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


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 '(11 + a2)' equal to zero and attempt to solve:

Simplifying
11 + a2 = 0

Solving
11 + a2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + a2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + a2 = 0 + -11
a2 = 0 + -11

Combine like terms: 0 + -11 = -11
a2 = -11

Simplifying
a2 = -11

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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