12a(3a)+2a=

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Solution for 12a(3a)+2a= equation:


Simplifying
12a(3a) + 2a = 0

Remove parenthesis around (3a)
12a * 3a + 2a = 0

Reorder the terms for easier multiplication:
12 * 3a * a + 2a = 0

Multiply 12 * 3
36a * a + 2a = 0

Multiply a * a
36a2 + 2a = 0

Reorder the terms:
2a + 36a2 = 0

Solving
2a + 36a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(1 + 18a) = 0

Ignore the factor 2.

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 '(1 + 18a)' equal to zero and attempt to solve: Simplifying 1 + 18a = 0 Solving 1 + 18a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 18a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 18a = 0 + -1 18a = 0 + -1 Combine like terms: 0 + -1 = -1 18a = -1 Divide each side by '18'. a = -0.05555555556 Simplifying a = -0.05555555556

Solution

a = {0, -0.05555555556}

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