a^2+6ad+9d^2=

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Solution for a^2+6ad+9d^2= equation:


Simplifying
a2 + 6ad + 9d2 = 0

Reorder the terms:
6ad + a2 + 9d2 = 0

Solving
6ad + a2 + 9d2 = 0

Solving for variable 'a'.

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

Subproblem 1

Set the factor '(a + 3d)' equal to zero and attempt to solve: Simplifying a + 3d = 0 Solving a + 3d = 0 Move all terms containing a to the left, all other terms to the right. Add '-3d' to each side of the equation. a + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 a + 0 = 0 + -3d a = 0 + -3d Remove the zero: a = -3d Simplifying a = -3d

Subproblem 2

Set the factor '(a + 3d)' equal to zero and attempt to solve: Simplifying a + 3d = 0 Solving a + 3d = 0 Move all terms containing a to the left, all other terms to the right. Add '-3d' to each side of the equation. a + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 a + 0 = 0 + -3d a = 0 + -3d Remove the zero: a = -3d Simplifying a = -3d

Solution

a = {-3d, -3d}

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