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

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Solution for (2a+3)(2a+3)=0 equation:


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

Reorder the terms:
(3 + 2a)(2a + 3) = 0

Reorder the terms:
(3 + 2a)(3 + 2a) = 0

Multiply (3 + 2a) * (3 + 2a)
(3(3 + 2a) + 2a * (3 + 2a)) = 0
((3 * 3 + 2a * 3) + 2a * (3 + 2a)) = 0
((9 + 6a) + 2a * (3 + 2a)) = 0
(9 + 6a + (3 * 2a + 2a * 2a)) = 0
(9 + 6a + (6a + 4a2)) = 0

Combine like terms: 6a + 6a = 12a
(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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