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

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


Simplifying
8a3 + -3a2 + 2a3 = 0

Reorder the terms:
-3a2 + 8a3 + 2a3 = 0

Combine like terms: 8a3 + 2a3 = 10a3
-3a2 + 10a3 = 0

Solving
-3a2 + 10a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(-3 + 10a) = 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 '(-3 + 10a)' equal to zero and attempt to solve: Simplifying -3 + 10a = 0 Solving -3 + 10a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10a = 0 + 3 10a = 0 + 3 Combine like terms: 0 + 3 = 3 10a = 3 Divide each side by '10'. a = 0.3 Simplifying a = 0.3

Solution

a = {0, 0.3}

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