2a^2(3a^3+11)=

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Solution for 2a^2(3a^3+11)= equation:


Simplifying
2a2(3a3 + 11) = 0

Reorder the terms:
2a2(11 + 3a3) = 0
(11 * 2a2 + 3a3 * 2a2) = 0
(22a2 + 6a5) = 0

Solving
22a2 + 6a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(11 + 3a3) = 0

Ignore the factor 2.

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 '(11 + 3a3)' equal to zero and attempt to solve: Simplifying 11 + 3a3 = 0 Solving 11 + 3a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3a3 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3a3 = 0 + -11 3a3 = 0 + -11 Combine like terms: 0 + -11 = -11 3a3 = -11 Divide each side by '3'. a3 = -3.666666667 Simplifying a3 = -3.666666667 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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