4a(3a^2+b)=

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Solution for 4a(3a^2+b)= equation:


Simplifying
4a(3a2 + b) = 0
(3a2 * 4a + b * 4a) = 0

Reorder the terms:
(4ab + 12a3) = 0
(4ab + 12a3) = 0

Solving
4ab + 12a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(b + 3a2) = 0

Ignore the factor 4.

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 '(b + 3a2)' equal to zero and attempt to solve: Simplifying b + 3a2 = 0 Reorder the terms: 3a2 + b = 0 Solving 3a2 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 3a2 + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 3a2 + 0 = 0 + -1b 3a2 = 0 + -1b Remove the zero: 3a2 = -1b Divide each side by '3'. a2 = -0.3333333333b Simplifying a2 = -0.3333333333b 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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