3a^2(8-a)+a^2=

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Solution for 3a^2(8-a)+a^2= equation: 


Simplifying
3a2(8 + -1a) + a2 = 0
(8 * 3a2 + -1a * 3a2) + a2 = 0
(24a2 + -3a3) + a2 = 0

Reorder the terms:
24a2 + a2 + -3a3 = 0

Combine like terms: 24a2 + a2 = 25a2
25a2 + -3a3 = 0

Solving
25a2 + -3a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(25 + -3a) = 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 '(25 + -3a)' equal to zero and attempt to solve:

Simplifying
25 + -3a = 0

Solving
25 + -3a = 0

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

Add '-25' to each side of the equation.
25 + -25 + -3a = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -3a = 0 + -25
-3a = 0 + -25

Combine like terms: 0 + -25 = -25
-3a = -25

Divide each side by '-3'.
a = 8.333333333

Simplifying
a = 8.333333333
Solution
a = {0, 8.333333333}

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