9a^2+12af+4f^2=0

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


Simplifying
9a2 + 12af + 4f2 = 0

Reorder the terms:
12af + 9a2 + 4f2 = 0

Solving
12af + 9a2 + 4f2 = 0

Solving for variable 'a'.

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

Subproblem 1

Set the factor '(3a + 2f)' equal to zero and attempt to solve: Simplifying 3a + 2f = 0 Solving 3a + 2f = 0 Move all terms containing a to the left, all other terms to the right. Add '-2f' to each side of the equation. 3a + 2f + -2f = 0 + -2f Combine like terms: 2f + -2f = 0 3a + 0 = 0 + -2f 3a = 0 + -2f Remove the zero: 3a = -2f Divide each side by '3'. a = -0.6666666667f Simplifying a = -0.6666666667f

Subproblem 2

Set the factor '(3a + 2f)' equal to zero and attempt to solve: Simplifying 3a + 2f = 0 Solving 3a + 2f = 0 Move all terms containing a to the left, all other terms to the right. Add '-2f' to each side of the equation. 3a + 2f + -2f = 0 + -2f Combine like terms: 2f + -2f = 0 3a + 0 = 0 + -2f 3a = 0 + -2f Remove the zero: 3a = -2f Divide each side by '3'. a = -0.6666666667f Simplifying a = -0.6666666667f

Solution

a = {-0.6666666667f, -0.6666666667f}

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