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Simplifying a2 + 8ag + 12g2 = 0 Reorder the terms: 8ag + a2 + 12g2 = 0 Solving 8ag + a2 + 12g2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 2g)(a + 6g) = 0Subproblem 1
Set the factor '(a + 2g)' equal to zero and attempt to solve: Simplifying a + 2g = 0 Solving a + 2g = 0 Move all terms containing a to the left, all other terms to the right. Add '-2g' to each side of the equation. a + 2g + -2g = 0 + -2g Combine like terms: 2g + -2g = 0 a + 0 = 0 + -2g a = 0 + -2g Remove the zero: a = -2g Simplifying a = -2gSubproblem 2
Set the factor '(a + 6g)' equal to zero and attempt to solve: Simplifying a + 6g = 0 Solving a + 6g = 0 Move all terms containing a to the left, all other terms to the right. Add '-6g' to each side of the equation. a + 6g + -6g = 0 + -6g Combine like terms: 6g + -6g = 0 a + 0 = 0 + -6g a = 0 + -6g Remove the zero: a = -6g Simplifying a = -6gSolution
a = {-2g, -6g}
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