Answer:
Simplifying
(6a + -8)(4a2) = 0
Reorder the terms:
(-8 + 6a)(4a2) = 0
Remove parenthesis around (4a2)
(-8 + 6a) * 4a2 = 0
Reorder the terms for easier multiplication:
4a2(-8 + 6a) = 0
(-8 * 4a2 + 6a * 4a2) = 0
(-32a2 + 24a3) = 0
Solving
-32a2 + 24a3 = 0
Solving for variable 'a'.
Factor out the Greatest Common Factor (GCF), '8a2'.
8a2(-4 + 3a) = 0
Ignore the factor 8.
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 '(-4 + 3a)' equal to zero and attempt to solve:
Simplifying
-4 + 3a = 0
Solving
-4 + 3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 3a = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 3a = 0 + 4
3a = 0 + 4
Combine like terms: 0 + 4 = 4
3a = 4
Divide each side by '3'.
a = 1.333333333
Simplifying
a = 1.333333333
Solution
a = {0, 1.333333333}
Step-by-step explanation:
