(8a)(8a)(8a)-(5a)(5a)+(4a)(4a)(4a)=

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Solution for (8a)(8a)(8a)-(5a)(5a)+(4a)(4a)(4a)= equation: 


Simplifying
(8a)(8a)(8a) + -1(5a)(5a) + (4a)(4a)(4a) = 0

Remove parenthesis around (8a)
8a(8a)(8a) + -1(5a)(5a) + (4a)(4a)(4a) = 0

Remove parenthesis around (8a)
8a * 8a(8a) + -1(5a)(5a) + (4a)(4a)(4a) = 0

Remove parenthesis around (8a)
8a * 8a * 8a + -1(5a)(5a) + (4a)(4a)(4a) = 0

Reorder the terms for easier multiplication:
8 * 8 * 8a * a * a + -1(5a)(5a) + (4a)(4a)(4a) = 0

Multiply 8 * 8
64 * 8a * a * a + -1(5a)(5a) + (4a)(4a)(4a) = 0

Multiply 64 * 8
512a * a * a + -1(5a)(5a) + (4a)(4a)(4a) = 0

Multiply a * a
512a2 * a + -1(5a)(5a) + (4a)(4a)(4a) = 0

Multiply a2 * a
512a3 + -1(5a)(5a) + (4a)(4a)(4a) = 0

Remove parenthesis around (5a)
512a3 + -1 * 5a(5a) + (4a)(4a)(4a) = 0

Remove parenthesis around (5a)
512a3 + -1 * 5a * 5a + (4a)(4a)(4a) = 0

Reorder the terms for easier multiplication:
512a3 + -1 * 5 * 5a * a + (4a)(4a)(4a) = 0

Multiply -1 * 5
512a3 + -5 * 5a * a + (4a)(4a)(4a) = 0

Multiply -5 * 5
512a3 + -25a * a + (4a)(4a)(4a) = 0

Multiply a * a
512a3 + -25a2 + (4a)(4a)(4a) = 0

Remove parenthesis around (4a)
512a3 + -25a2 + 4a(4a)(4a) = 0

Remove parenthesis around (4a)
512a3 + -25a2 + 4a * 4a(4a) = 0

Remove parenthesis around (4a)
512a3 + -25a2 + 4a * 4a * 4a = 0

Reorder the terms for easier multiplication:
512a3 + -25a2 + 4 * 4 * 4a * a * a = 0

Multiply 4 * 4
512a3 + -25a2 + 16 * 4a * a * a = 0

Multiply 16 * 4
512a3 + -25a2 + 64a * a * a = 0

Multiply a * a
512a3 + -25a2 + 64a2 * a = 0

Multiply a2 * a
512a3 + -25a2 + 64a3 = 0

Reorder the terms:
-25a2 + 512a3 + 64a3 = 0

Combine like terms: 512a3 + 64a3 = 576a3
-25a2 + 576a3 = 0

Solving
-25a2 + 576a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(-25 + 576a) = 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 + 576a)' equal to zero and attempt to solve:

Simplifying
-25 + 576a = 0

Solving
-25 + 576a = 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 + 576a = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 576a = 0 + 25
576a = 0 + 25

Combine like terms: 0 + 25 = 25
576a = 25

Divide each side by '576'.
a = 0.04340277778

Simplifying
a = 0.04340277778
Solution
a = {0, 0.04340277778}

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