a^3*3a^2=10a

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Solution for a^3*3a^2=10a equation:


Simplifying
a3 * 3a2 = 10a

Reorder the terms for easier multiplication:
3a3 * a2 = 10a

Multiply a3 * a2
3a5 = 10a

Solving
3a5 = 10a

Solving for variable 'a'.

Reorder the terms:
-10a + 3a5 = 10a + -10a

Combine like terms: 10a + -10a = 0
-10a + 3a5 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-10 + 3a4) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(-10 + 3a4)' equal to zero and attempt to solve: Simplifying -10 + 3a4 = 0 Solving -10 + 3a4 = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3a4 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3a4 = 0 + 10 3a4 = 0 + 10 Combine like terms: 0 + 10 = 10 3a4 = 10 Divide each side by '3'. a4 = 3.333333333 Simplifying a4 = 3.333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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