4a^2+9+12a=0

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Solution for 4a^2+9+12a=0 equation:


Simplifying
4a2 + 9 + 12a = 0

Reorder the terms:
9 + 12a + 4a2 = 0

Solving
9 + 12a + 4a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3 + 2a)(3 + 2a) = 0

Subproblem 1

Set the factor '(3 + 2a)' equal to zero and attempt to solve: Simplifying 3 + 2a = 0 Solving 3 + 2a = 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 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5

Subproblem 2

Set the factor '(3 + 2a)' equal to zero and attempt to solve: Simplifying 3 + 2a = 0 Solving 3 + 2a = 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 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5

Solution

a = {-1.5, -1.5}

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