4a^2x^5+12a^3=

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Solution for 4a^2x^5+12a^3= equation: 


Simplifying
4a2x5 + 12a3 = 0

Solving
4a2x5 + 12a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2'.
4a2(x5 + 3a) = 0

Ignore the factor 4.

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 '(x5 + 3a)' equal to zero and attempt to solve:

Simplifying
x5 + 3a = 0

Reorder the terms:
3a + x5 = 0

Solving
3a + x5 = 0

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

Add '-1x5' to each side of the equation.
3a + x5 + -1x5 = 0 + -1x5

Combine like terms: x5 + -1x5 = 0
3a + 0 = 0 + -1x5
3a = 0 + -1x5
Remove the zero:
3a = -1x5

Divide each side by '3'.
a = -0.3333333333x5

Simplifying
a = -0.3333333333x5
Solution
a = {0, -0.3333333333x5}

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